Tabulate results of using the GUAVA (GAP package) commands CyclicCodes(n,GF(2)); MinimumDistance(C); CoveringRadius(C); The numbering is that GUAVA's ordering of CyclicCodes(n,GF(2)), which is presumably dependent on how the polynomial factors of x^36-1 get ordered. 11-2004,wdj@usna.edu +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ C: a cyclic [36,36,1]0 enumerated code over GF(2) Covering radius: 0 number 1 out of 125 C: a cyclic [36,35,2]1 enumerated code over GF(2) Covering radius: 1 number 2 out of 125 C: a cyclic [36,34,2]2 enumerated code over GF(2) Covering radius: 2 number 3 out of 125 C: a cyclic [36,34,2]1 enumerated code over GF(2) Covering radius: 1 number 102 out of 125 C: a cyclic [36,33,2]2 enumerated code over GF(2) Covering radius: 2 number 4 out of 125 C: a cyclic [36,32,2]2 enumerated code over GF(2) Covering radius: 2 number 103 out of 125 C: a cyclic [36,32,2]4 enumerated code over GF(2) Covering radius: 4 number 5 out of 125 C: a cyclic [36,33,2]3 enumerated code over GF(2) Covering radius: 3 number 78 out of 125 C: a cyclic [36,32,2]3 enumerated code over GF(2) Covering radius: 3 number 54 out of 125 C: a cyclic [36,31,2]3 enumerated code over GF(2) Covering radius: 3 number 79 out of 125 C: a cyclic [36,31,2]3 enumerated code over GF(2) Covering radius: 3 number 30 out of 125 C: a cyclic [36,30,2]6 enumerated code over GF(2) Covering radius: 6 number 55 out of 125 C: a cyclic [36,30,2]3 enumerated code over GF(2) Covering radius: 3 number 122 out of 125 C: a cyclic [36,30,2]4 enumerated code over GF(2) Covering radius: 4 number 6 out of 125 C: a cyclic [36,30,2]3 enumerated code over GF(2) Covering radius: 3 number 104 out of 125 C: a cyclic [36,29,2]6 enumerated code over GF(2) Covering radius: 6 number 31 out of 125 C: a cyclic [36,29,2]4 enumerated code over GF(2) Covering radius: 4 number 98 out of 125 C: a cyclic [36,29,2]4 enumerated code over GF(2) Covering radius: 4 number 80 out of 125 C: a cyclic [36,28,2]4 enumerated code over GF(2) Covering radius: 4 number 74 out of 125 C: a cyclic [36,28,2]6 enumerated code over GF(2) Covering radius: 6 number 56 out of 125 C: a cyclic [36,28,2]4 enumerated code over GF(2) Covering radius: 4 number 118 out of 125 C: a cyclic [36,28,2]4 enumerated code over GF(2) Covering radius: 4 number 105 out of 125 C: a cyclic [36,28,2]6 enumerated code over GF(2) Covering radius: 6 number 7 out of 125 C: a cyclic [36,27,2]6 enumerated code over GF(2) Covering radius: 6 number 32 out of 125 C: a cyclic [36,27,2]5 enumerated code over GF(2) Covering radius: 5 number 81 out of 125 C: a cyclic [36,27,4]4 enumerated code over GF(2) Covering radius: 4 number 50 out of 125 C: a cyclic [36,27,2]9 enumerated code over GF(2) Covering radius: 9 number 94 out of 125 C: a cyclic [36,26,2]6 enumerated code over GF(2) Covering radius: 6 number 57 out of 125 C: a cyclic [36,26,4]4 enumerated code over GF(2) Covering radius: 4 number 26 out of 125 C: a cyclic [36,26,2]9 enumerated code over GF(2) Covering radius: 9 number 70 out of 125 C: a cyclic [36,26,2]5 enumerated code over GF(2) Covering radius: 5 number 114 out of 125 C: a cyclic [36,26,2]6 enumerated code over GF(2) Covering radius: 6 number 8 out of 125 C: a cyclic [36,25,2]6 enumerated code over GF(2) Covering radius: 6 number 33 out of 125 C: a cyclic [36,25,4]9 enumerated code over GF(2) Covering radius: 9 number 46 out of 125 C: a cyclic [36,25,2]9 enumerated code over GF(2) Covering radius: 9 number 90 out of 125 C: a cyclic [36,24,2]9 enumerated code over GF(2) Covering radius: 9 number 66 out of 125 C: a cyclic [36,24,2]12 enumerated code over GF(2) Covering radius: 12 number 9 out of 125 C: a cyclic [36,24,2]6 enumerated code over GF(2) Covering radius: 6 number 123 out of 125 C: a cyclic [36,24,4]5 enumerated code over GF(2) Covering radius: 5 number 110 out of 125 C: a cyclic [36,24,4]9 enumerated code over GF(2) Covering radius: 9 number 22 out of 125 C: a cyclic [36,23,2]7 enumerated code over GF(2) Covering radius: 7 number 99 out of 125 C: a cyclic [36,23,4]9 enumerated code over GF(2) Covering radius: 9 number 42 out of 125 C: a cyclic [36,22,2]7 enumerated code over GF(2) Covering radius: 7 number 119 out of 125 C: a cyclic [36,22,2]8 enumerated code over GF(2) Covering radius: 8 number 75 out of 125 C: a cyclic [36,22,4]9 enumerated code over GF(2) Covering radius: 9 number 62 out of 125 C: a cyclic [36,22,4]9 enumerated code over GF(2) Covering radius: 9 number 18 out of 125 C: a cyclic [36,22,4]6 enumerated code over GF(2) Covering radius: 6 number 106 out of 125 C: a cyclic [36,21,4]9 enumerated code over GF(2) Covering radius: 9 number 82 out of 125 C: a cyclic [36,21,4]8 enumerated code over GF(2) Covering radius: 8 number 51 out of 125 C: a cyclic [36,21,2]9 enumerated code over GF(2) Covering radius: 9 number 95 out of 125 C: a cyclic [36,21,4]9 enumerated code over GF(2) Covering radius: 9 number 38 out of 125 C: a cyclic [36,20,2]8 enumerated code over GF(2) Covering radius: 8 number 115 out of 125 C: a cyclic [36,20,4]9 enumerated code over GF(2) Covering radius: 9 number 58 out of 125 C: a cyclic [36,20,4]8 enumerated code over GF(2) Covering radius: 8 number 27 out of 125 C: a cyclic [36,20,4]9 enumerated code over GF(2) Covering radius: 9 number 14 out of 125 C: a cyclic [36,20,2]9 enumerated code over GF(2) Covering radius: 9 number 71 out of 125 C: a cyclic [36,19,2]9 enumerated code over GF(2) Covering radius: 9 number 91 out of 125 C: a cyclic [36,19,4]9 enumerated code over GF(2) Covering radius: 9 number 47 out of 125 C: a cyclic [36,19,4]9 enumerated code over GF(2) Covering radius: 9 number 34 out of 125 C: a cyclic [36,18,4]12 enumerated code over GF(2) Covering radius: 12 number 10 out of 125 C: a cyclic [36,18,3]9 enumerated code over GF(2) Covering radius: 9 number 124 out of 125 C: a cyclic [36,18,2]18 enumerated code over GF(2) Covering radius: 18 number 67 out of 125 C: a cyclic [36,18,4]8 enumerated code over GF(2) Covering radius: 8 number 111 out of 125 C: a cyclic [36,18,4]9 enumerated code over GF(2) Covering radius: 9 number 23 out of 125 C: a cyclic [36,17,4]9 enumerated code over GF(2) Covering radius: 9 number 87 out of 125 C: a cyclic [36,17,4]18 enumerated code over GF(2) Covering radius: 18 number 43 out of 125 C: a cyclic [36,17,4]10 enumerated code over GF(2) Covering radius: 10 number 100 out of 125 C: a cyclic [36,16,4][ 6 .. 13 ] enumerated code over GF(2) Covering radius: [ 6 .. 13 ] number 120 out of 125 C: a cyclic [36,16,4][ 6 .. 14 ] enumerated code over GF(2) Covering radius: [ 6 .. 14 ] number 107 out of 125 C: a cyclic [36,16,4][ 6 .. 18 ] enumerated code over GF(2) Covering radius: [ 6 .. 18 ] number 19 out of 125 C: a cyclic [36,16,4][ 6 .. 18 ] enumerated code over GF(2) Covering radius: [ 6 .. 18 ] number 63 out of 125 C: a cyclic [36,16,4][ 6 .. 16 ] enumerated code over GF(2) Covering radius: [ 6 .. 16 ] number 76 out of 125 C: a cyclic [36,15,4][ 7 .. 14 ] enumerated code over GF(2) Covering radius: [ 7 .. 14 ] number 52 out of 125 C: a cyclic [36,15,4][ 7 .. 18 ] enumerated code over GF(2) Covering radius: [ 7 .. 18 ] number 39 out of 125 C: a cyclic [36,15,4][ 7 .. 13 ] enumerated code over GF(2) Covering radius: [ 7 .. 13 ] number 83 out of 125 C: a cyclic [36,15,4][ 7 .. 16 ] enumerated code over GF(2) Covering radius: [ 7 .. 16 ] number 96 out of 125 C: a cyclic [36,14,4][ 7 .. 15 ] enumerated code over GF(2) Covering radius: [ 7 .. 15 ] number 116 out of 125 C: a cyclic [36,14,6][ 7 .. 18 ] enumerated code over GF(2) Covering radius: [ 7 .. 18 ] number 28 out of 125 C: a cyclic [36,14,4][ 7 .. 18 ] enumerated code over GF(2) Covering radius: [ 7 .. 18 ] number 59 out of 125 C: a cyclic [36,14,4][ 7 .. 16 ] enumerated code over GF(2) Covering radius: [ 7 .. 16 ] number 72 out of 125 C: a cyclic [36,14,4][ 7 .. 18 ] enumerated code over GF(2) Covering radius: [ 7 .. 18 ] number 15 out of 125 C: a cyclic [36,13,4][ 8 .. 18 ] enumerated code over GF(2) Covering radius: [ 8 .. 18 ] number 35 out of 125 C: a cyclic [36,13,4][ 8 .. 15 ] enumerated code over GF(2) Covering radius: [ 8 .. 15 ] number 92 out of 125 C: a cyclic [36,13,4][ 8 .. 16 ] enumerated code over GF(2) Covering radius: [ 8 .. 16 ] number 48 out of 125 C: a cyclic [36,12,8][ 8 .. 16 ] enumerated code over GF(2) Covering radius: [ 8 .. 16 ] number 24 out of 125 C: a cyclic [36,12,3][ 8 .. 12 ] enumerated code over GF(2) Covering radius: [ 8 .. 12 ] number 125 out of 125 C: a cyclic [36,12,4][ 8 .. 18 ] enumerated code over GF(2) Covering radius: [ 8 .. 18 ] number 11 out of 125 C: a cyclic [36,12,4][ 8 .. 15 ] enumerated code over GF(2) Covering radius: [ 8 .. 15 ] number 112 out of 125 C: a cyclic [36,12,4][ 8 .. 18 ] enumerated code over GF(2) Covering radius: [ 8 .. 18 ] number 68 out of 125 C: a cyclic [36,11,4][ 9 .. 18 ] enumerated code over GF(2) Covering radius: [ 9 .. 18 ] number 44 out of 125 C: a cyclic [36,11,4][ 9 .. 16 ] enumerated code over GF(2) Covering radius: [ 9 .. 16 ] number 88 out of 125 C: a cyclic [36,11,6][ 9 .. 18 ] enumerated code over GF(2) Covering radius: [ 9 .. 18 ] number 101 out of 125 C: a cyclic [36,10,8][ 9 .. 18 ] enumerated code over GF(2) Covering radius: [ 9 .. 18 ] number 20 out of 125 C: a cyclic [36,10,8][ 9 .. 15 ] enumerated code over GF(2) Covering radius: [ 9 .. 15 ] number 108 out of 125 C: a cyclic [36,10,4][ 9 .. 18 ] enumerated code over GF(2) Covering radius: [ 9 .. 18 ] number 64 out of 125 C: a cyclic [36,10,6][ 9 .. 16 ] enumerated code over GF(2) Covering radius: [ 9 .. 16 ] number 121 out of 125 C: a cyclic [36,10,6][ 9 .. 18 ] enumerated code over GF(2) Covering radius: [ 9 .. 18 ] number 77 out of 125 C: a cyclic [36,9,6][ 10 .. 18 ] enumerated code over GF(2) Covering radius: [ 10 .. 18 ] number 97 out of 125 C: a cyclic [36,9,8][ 10 .. 16 ] enumerated code over GF(2) Covering radius: [ 10 .. 16 ] number 84 out of 125 C: a cyclic [36,9,6][ 10 .. 18 ] enumerated code over GF(2) Covering radius: [ 10 .. 18 ] number 53 out of 125 C: a cyclic [36,9,4][ 10 .. 18 ] enumerated code over GF(2) Covering radius: [ 10 .. 18 ] number 40 out of 125 C: a cyclic [36,8,6][ 10 .. 18 ] enumerated code over GF(2) Covering radius: [ 10 .. 18 ] number 73 out of 125 C: a cyclic [36,8,6][ 10 .. 18 ] enumerated code over GF(2) Covering radius: [ 10 .. 18 ] number 29 out of 125 C: a cyclic [36,8,8][ 10 .. 18 ] enumerated code over GF(2) Covering radius: [ 10 .. 18 ] number 16 out of 125 C: a cyclic [36,8,8][ 10 .. 18 ] enumerated code over GF(2) Covering radius: [ 10 .. 18 ] number 60 out of 125 C: a cyclic [36,8,6][ 10 .. 16 ] enumerated code over GF(2) Covering radius: [ 10 .. 16 ] number 117 out of 125 C: a cyclic [36,7,8][ 11 .. 18 ] enumerated code over GF(2) Covering radius: [ 11 .. 18 ] number 36 out of 125 C: a cyclic [36,7,6][ 11 .. 18 ] enumerated code over GF(2) Covering radius: [ 11 .. 18 ] number 93 out of 125 C: a cyclic [36,7,12][ 11 .. 18 ] enumerated code over GF(2) Covering radius: [ 11 .. 18 ] number 49 out of 125 C: a cyclic [36,6,8][ 12 .. 18 ] enumerated code over GF(2) Covering radius: [ 12 .. 18 ] number 12 out of 125 C: a cyclic [36,6,9][ 12 .. 16 ] enumerated code over GF(2) Covering radius: [ 12 .. 16 ] number 113 out of 125 C: a cyclic [36,6,6][ 12 .. 18 ] enumerated code over GF(2) Covering radius: [ 12 .. 18 ] number 69 out of 125 C: a cyclic [36,6,12][ 12 .. 18 ] enumerated code over GF(2) Covering radius: [ 12 .. 18 ] number 25 out of 125 C: a cyclic [36,5,12][ 15 .. 18 ] enumerated code over GF(2) Covering radius: [ 15 .. 18 ] number 45 out of 125 C: a cyclic [36,5,12][ 15 .. 18 ] enumerated code over GF(2) Covering radius: [ 15 .. 18 ] number 89 out of 125 C: a cyclic [36,4,9]16 enumerated code over GF(2) Covering radius: 16 number 109 out of 125 C: a cyclic [36,4,12][ 16 .. 18 ] enumerated code over GF(2) Covering radius: [ 16 .. 18 ] number 21 out of 125 C: a cyclic [36,4,12][ 16 .. 18 ] enumerated code over GF(2) Covering radius: [ 16 .. 18 ] number 65 out of 125 C: a cyclic [36,3,12][ 17 .. 18 ] enumerated code over GF(2) Covering radius: [ 17 .. 18 ] number 41 out of 125 C: a cyclic [36,3,18][ 17 .. 18 ] enumerated code over GF(2) Covering radius: [ 17 .. 18 ] number 85 out of 125 C: a cyclic [36,2,18][ 17 .. 18 ] enumerated code over GF(2) Covering radius: [ 17 .. 18 ] number 61 out of 125 C: a cyclic [36,2,24][ 17 .. 18 ] enumerated code over GF(2) Covering radius: [ 17 .. 18 ] number 17 out of 125 C: a cyclic [36,1,36]18 enumerated code over GF(2) Covering radius: 18 number 37 out of 125 C: a cyclic [36,0,36]36 enumerated code over GF(2) Covering radius: 36 number 13 out of 125