Information on Result #606410
Linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), using Reed–Solomon code RS(14,27)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(366, 108, F3, 27) (dual of [108, 42, 28]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(365, 104, F3, 27) (dual of [104, 39, 28]-code) | [i] | ||
| 3 | Linear OA(364, 100, F3, 27) (dual of [100, 36, 28]-code) | [i] | ||
| 4 | Linear OA(363, 96, F3, 27) (dual of [96, 33, 28]-code) | [i] | ||
| 5 | Linear OA(362, 92, F3, 27) (dual of [92, 30, 28]-code) | [i] | ||
| 6 | Linear OA(361, 88, F3, 27) (dual of [88, 27, 28]-code) | [i] | ||
| 7 | Linear OA(3149, 176, F3, 69) (dual of [176, 27, 70]-code) | [i] | ||
| 8 | Linear OA(3144, 168, F3, 69) (dual of [168, 24, 70]-code) | [i] | ||
| 9 | Linear OA(3139, 160, F3, 69) (dual of [160, 21, 70]-code) | [i] | ||
| 10 | Linear OA(3129, 144, F3, 69) (dual of [144, 15, 70]-code) | [i] | ||
| 11 | Linear OA(3124, 136, F3, 69) (dual of [136, 12, 70]-code) | [i] | ||
| 12 | Linear OA(3171, 198, F3, 83) (dual of [198, 27, 84]-code) | [i] | ||
| 13 | Linear OA(3165, 189, F3, 83) (dual of [189, 24, 84]-code) | [i] | ||
| 14 | Linear OA(3159, 180, F3, 83) (dual of [180, 21, 84]-code) | [i] | ||
| 15 | Linear OA(3153, 171, F3, 83) (dual of [171, 18, 84]-code) | [i] | ||
| 16 | Linear OA(3141, 153, F3, 83) (dual of [153, 12, 84]-code) | [i] | ||
| 17 | Linear OA(3135, 144, F3, 83) (dual of [144, 9, 84]-code) | [i] | ||
| 18 | Linear OA(3189, 195, F3, 125) (dual of [195, 6, 126]-code) | [i] | ||
| 19 | Linear OOA(3120, 81, F3, 2, 55) (dual of [(81, 2), 42, 56]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 20 | Linear OOA(3117, 78, F3, 2, 55) (dual of [(78, 2), 39, 56]-NRT-code) | [i] | ||
| 21 | Linear OOA(3114, 75, F3, 2, 55) (dual of [(75, 2), 36, 56]-NRT-code) | [i] | ||
| 22 | Linear OOA(3111, 72, F3, 2, 55) (dual of [(72, 2), 33, 56]-NRT-code) | [i] | ||
| 23 | Linear OOA(3108, 69, F3, 2, 55) (dual of [(69, 2), 30, 56]-NRT-code) | [i] | ||
| 24 | Linear OOA(3105, 66, F3, 2, 55) (dual of [(66, 2), 27, 56]-NRT-code) | [i] | ||
| 25 | Linear OOA(3102, 63, F3, 2, 55) (dual of [(63, 2), 24, 56]-NRT-code) | [i] | ||
| 26 | Linear OOA(399, 60, F3, 2, 55) (dual of [(60, 2), 21, 56]-NRT-code) | [i] | ||
| 27 | Linear OOA(396, 57, F3, 2, 55) (dual of [(57, 2), 18, 56]-NRT-code) | [i] | ||
| 28 | Linear OOA(393, 54, F3, 2, 55) (dual of [(54, 2), 15, 56]-NRT-code) | [i] | ||
| 29 | Linear OOA(390, 51, F3, 2, 55) (dual of [(51, 2), 12, 56]-NRT-code) | [i] | ||
| 30 | Linear OOA(387, 48, F3, 2, 55) (dual of [(48, 2), 9, 56]-NRT-code) | [i] | ||
| 31 | Linear OOA(3154, 92, F3, 2, 83) (dual of [(92, 2), 30, 84]-NRT-code) | [i] | ||
| 32 | Linear OOA(3149, 88, F3, 2, 83) (dual of [(88, 2), 27, 84]-NRT-code) | [i] | ||
| 33 | Linear OOA(3139, 80, F3, 2, 83) (dual of [(80, 2), 21, 84]-NRT-code) | [i] | ||
| 34 | Linear OOA(3134, 76, F3, 2, 83) (dual of [(76, 2), 18, 84]-NRT-code) | [i] | ||
| 35 | Linear OOA(3129, 72, F3, 2, 83) (dual of [(72, 2), 15, 84]-NRT-code) | [i] | ||
| 36 | Linear OOA(3124, 68, F3, 2, 83) (dual of [(68, 2), 12, 84]-NRT-code) | [i] | ||
| 37 | Linear OOA(3119, 64, F3, 2, 83) (dual of [(64, 2), 9, 84]-NRT-code) | [i] | ||
| 38 | Linear OOA(3192, 68, F3, 3, 139) (dual of [(68, 3), 12, 140]-NRT-code) | [i] | ||
| 39 | Linear OOA(3183, 64, F3, 3, 139) (dual of [(64, 3), 9, 140]-NRT-code) | [i] | ||
| 40 | Linear OOA(3174, 60, F3, 3, 139) (dual of [(60, 3), 6, 140]-NRT-code) | [i] | ||
| 41 | Linear OA(2797, 114, F27, 75) (dual of [114, 17, 76]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 42 | Linear OA(2796, 114, F27, 74) (dual of [114, 18, 75]-code) | [i] | ||
| 43 | Linear OA(2795, 114, F27, 73) (dual of [114, 19, 74]-code) | [i] | ||
| 44 | Linear OA(2794, 114, F27, 72) (dual of [114, 20, 73]-code) | [i] | ||
| 45 | Linear OA(2793, 114, F27, 71) (dual of [114, 21, 72]-code) | [i] | ||
| 46 | Linear OA(2792, 114, F27, 70) (dual of [114, 22, 71]-code) | [i] | ||
| 47 | Linear OA(2791, 114, F27, 69) (dual of [114, 23, 70]-code) | [i] | ||
| 48 | Linear OA(2790, 114, F27, 68) (dual of [114, 24, 69]-code) | [i] | ||
| 49 | Linear OA(2789, 114, F27, 67) (dual of [114, 25, 68]-code) | [i] | ||
| 50 | Linear OA(2788, 114, F27, 66) (dual of [114, 26, 67]-code) | [i] | ||
| 51 | Linear OA(2787, 114, F27, 65) (dual of [114, 27, 66]-code) | [i] | ||
| 52 | Linear OA(2786, 114, F27, 64) (dual of [114, 28, 65]-code) | [i] | ||
| 53 | Linear OA(2785, 114, F27, 63) (dual of [114, 29, 64]-code) | [i] | ||
| 54 | Linear OA(2784, 114, F27, 62) (dual of [114, 30, 63]-code) | [i] | ||
| 55 | Linear OA(2783, 114, F27, 61) (dual of [114, 31, 62]-code) | [i] | ||
| 56 | Linear OA(2782, 114, F27, 60) (dual of [114, 32, 61]-code) | [i] | ||
| 57 | Linear OA(2781, 114, F27, 59) (dual of [114, 33, 60]-code) | [i] | ||
| 58 | Linear OA(2780, 114, F27, 58) (dual of [114, 34, 59]-code) | [i] | ||
| 59 | Linear OA(2779, 114, F27, 57) (dual of [114, 35, 58]-code) | [i] | ||
| 60 | Linear OA(2778, 114, F27, 56) (dual of [114, 36, 57]-code) | [i] | ||
| 61 | Linear OA(2777, 114, F27, 55) (dual of [114, 37, 56]-code) | [i] | ||
| 62 | Linear OA(2776, 114, F27, 54) (dual of [114, 38, 55]-code) | [i] | ||
| 63 | Linear OA(2775, 114, F27, 53) (dual of [114, 39, 54]-code) | [i] | ||
| 64 | Linear OA(2774, 114, F27, 52) (dual of [114, 40, 53]-code) | [i] | ||
| 65 | Linear OA(2773, 114, F27, 51) (dual of [114, 41, 52]-code) | [i] | ||
| 66 | Linear OA(2772, 114, F27, 50) (dual of [114, 42, 51]-code) | [i] | ||
| 67 | Linear OA(2771, 114, F27, 49) (dual of [114, 43, 50]-code) | [i] | ||
| 68 | Linear OA(2770, 114, F27, 48) (dual of [114, 44, 49]-code) | [i] | ||
| 69 | Linear OA(2769, 114, F27, 47) (dual of [114, 45, 48]-code) | [i] | ||
| 70 | Linear OA(2768, 114, F27, 46) (dual of [114, 46, 47]-code) | [i] | ||
| 71 | Linear OA(2767, 114, F27, 45) (dual of [114, 47, 46]-code) | [i] | ||
| 72 | Linear OA(2766, 114, F27, 44) (dual of [114, 48, 45]-code) | [i] | ||
| 73 | Linear OA(2765, 114, F27, 43) (dual of [114, 49, 44]-code) | [i] | ||
| 74 | Linear OA(2764, 114, F27, 42) (dual of [114, 50, 43]-code) | [i] | ||
| 75 | Linear OA(2763, 114, F27, 41) (dual of [114, 51, 42]-code) | [i] | ||
| 76 | Linear OA(2762, 114, F27, 40) (dual of [114, 52, 41]-code) | [i] | ||
| 77 | Linear OA(2761, 114, F27, 39) (dual of [114, 53, 40]-code) | [i] | ||
| 78 | Linear OA(2760, 114, F27, 38) (dual of [114, 54, 39]-code) | [i] | ||
| 79 | Linear OA(2759, 114, F27, 37) (dual of [114, 55, 38]-code) | [i] | ||
| 80 | Linear OA(2758, 114, F27, 36) (dual of [114, 56, 37]-code) | [i] | ||
| 81 | Linear OA(2757, 114, F27, 35) (dual of [114, 57, 36]-code) | [i] | ||
| 82 | Linear OA(2756, 114, F27, 34) (dual of [114, 58, 35]-code) | [i] | ||
| 83 | Linear OA(2755, 114, F27, 33) (dual of [114, 59, 34]-code) | [i] | ||
| 84 | Linear OA(2754, 114, F27, 32) (dual of [114, 60, 33]-code) | [i] | ||
| 85 | Linear OA(2753, 114, F27, 31) (dual of [114, 61, 32]-code) | [i] | ||
| 86 | Linear OA(2752, 114, F27, 30) (dual of [114, 62, 31]-code) | [i] | ||
| 87 | Linear OA(27103, 120, F27, 80) (dual of [120, 17, 81]-code) | [i] | ||
| 88 | Linear OA(27102, 120, F27, 79) (dual of [120, 18, 80]-code) | [i] | ||
| 89 | Linear OA(27101, 120, F27, 78) (dual of [120, 19, 79]-code) | [i] | ||
| 90 | Linear OA(27100, 120, F27, 77) (dual of [120, 20, 78]-code) | [i] | ||
| 91 | Linear OA(2799, 120, F27, 76) (dual of [120, 21, 77]-code) | [i] | ||
| 92 | Linear OA(2798, 120, F27, 75) (dual of [120, 22, 76]-code) | [i] | ||
| 93 | Linear OA(2797, 120, F27, 74) (dual of [120, 23, 75]-code) | [i] | ||
| 94 | Linear OA(2796, 120, F27, 73) (dual of [120, 24, 74]-code) | [i] | ||
| 95 | Linear OA(2795, 120, F27, 72) (dual of [120, 25, 73]-code) | [i] | ||
| 96 | Linear OA(2794, 120, F27, 71) (dual of [120, 26, 72]-code) | [i] | ||
| 97 | Linear OA(2793, 120, F27, 70) (dual of [120, 27, 71]-code) | [i] | ||
| 98 | Linear OA(2792, 120, F27, 69) (dual of [120, 28, 70]-code) | [i] | ||
| 99 | Linear OA(2791, 120, F27, 68) (dual of [120, 29, 69]-code) | [i] | ||
| 100 | Linear OA(2790, 120, F27, 67) (dual of [120, 30, 68]-code) | [i] | ||
| 101 | Linear OA(2789, 120, F27, 66) (dual of [120, 31, 67]-code) | [i] | ||
| 102 | Linear OA(2788, 120, F27, 65) (dual of [120, 32, 66]-code) | [i] | ||
| 103 | Linear OA(2787, 120, F27, 64) (dual of [120, 33, 65]-code) | [i] | ||
| 104 | Linear OA(2786, 120, F27, 63) (dual of [120, 34, 64]-code) | [i] | ||
| 105 | Linear OA(2785, 120, F27, 62) (dual of [120, 35, 63]-code) | [i] | ||
| 106 | Linear OA(2784, 120, F27, 61) (dual of [120, 36, 62]-code) | [i] | ||
| 107 | Linear OA(2783, 120, F27, 60) (dual of [120, 37, 61]-code) | [i] | ||
| 108 | Linear OA(2782, 120, F27, 59) (dual of [120, 38, 60]-code) | [i] | ||
| 109 | Linear OA(2781, 120, F27, 58) (dual of [120, 39, 59]-code) | [i] | ||
| 110 | Linear OA(2780, 120, F27, 57) (dual of [120, 40, 58]-code) | [i] | ||
| 111 | Linear OA(2779, 120, F27, 56) (dual of [120, 41, 57]-code) | [i] | ||
| 112 | Linear OA(2778, 120, F27, 55) (dual of [120, 42, 56]-code) | [i] | ||
| 113 | Linear OA(2777, 120, F27, 54) (dual of [120, 43, 55]-code) | [i] | ||
| 114 | Linear OA(2776, 120, F27, 53) (dual of [120, 44, 54]-code) | [i] | ||
| 115 | Linear OA(2775, 120, F27, 52) (dual of [120, 45, 53]-code) | [i] | ||
| 116 | Linear OA(2774, 120, F27, 51) (dual of [120, 46, 52]-code) | [i] | ||
| 117 | Linear OA(2773, 120, F27, 50) (dual of [120, 47, 51]-code) | [i] | ||
| 118 | Linear OA(2772, 120, F27, 49) (dual of [120, 48, 50]-code) | [i] | ||
| 119 | Linear OA(2771, 120, F27, 48) (dual of [120, 49, 49]-code) | [i] | ||
| 120 | Linear OA(2770, 120, F27, 47) (dual of [120, 50, 48]-code) | [i] | ||
| 121 | Linear OA(2769, 120, F27, 46) (dual of [120, 51, 47]-code) | [i] | ||
| 122 | Linear OA(2768, 120, F27, 45) (dual of [120, 52, 46]-code) | [i] | ||
| 123 | Linear OA(2767, 120, F27, 44) (dual of [120, 53, 45]-code) | [i] | ||
| 124 | Linear OA(2766, 120, F27, 43) (dual of [120, 54, 44]-code) | [i] | ||
| 125 | Linear OA(2765, 120, F27, 42) (dual of [120, 55, 43]-code) | [i] | ||
| 126 | Linear OA(2764, 120, F27, 41) (dual of [120, 56, 42]-code) | [i] | ||
| 127 | Linear OA(2763, 120, F27, 40) (dual of [120, 57, 41]-code) | [i] | ||
| 128 | Linear OA(2762, 120, F27, 39) (dual of [120, 58, 40]-code) | [i] | ||
| 129 | Linear OA(2761, 120, F27, 38) (dual of [120, 59, 39]-code) | [i] | ||
| 130 | Linear OA(2760, 120, F27, 37) (dual of [120, 60, 38]-code) | [i] | ||
| 131 | Linear OA(2759, 120, F27, 36) (dual of [120, 61, 37]-code) | [i] | ||
| 132 | Linear OA(2758, 120, F27, 35) (dual of [120, 62, 36]-code) | [i] | ||
| 133 | Linear OA(2757, 120, F27, 34) (dual of [120, 63, 35]-code) | [i] | ||
| 134 | Linear OA(2756, 120, F27, 33) (dual of [120, 64, 34]-code) | [i] | ||
| 135 | Linear OA(2755, 120, F27, 32) (dual of [120, 65, 33]-code) | [i] | ||
| 136 | Linear OA(2754, 120, F27, 31) (dual of [120, 66, 32]-code) | [i] | ||
| 137 | Linear OA(27106, 759, F27, 41) (dual of [759, 653, 42]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 138 | Linear OA(27107, 761, F27, 41) (dual of [761, 654, 42]-code) | [i] | ||
| 139 | Linear OA(27108, 763, F27, 41) (dual of [763, 655, 42]-code) | [i] | ||
| 140 | Linear OA(27109, 765, F27, 41) (dual of [765, 656, 42]-code) | [i] | ||
| 141 | Linear OA(27110, 767, F27, 41) (dual of [767, 657, 42]-code) | [i] | ||
| 142 | Linear OA(27104, 759, F27, 40) (dual of [759, 655, 41]-code) | [i] | ||
| 143 | Linear OA(27105, 761, F27, 40) (dual of [761, 656, 41]-code) | [i] | ||
| 144 | Linear OA(27106, 763, F27, 40) (dual of [763, 657, 41]-code) | [i] | ||
| 145 | Linear OA(27107, 765, F27, 40) (dual of [765, 658, 41]-code) | [i] | ||
| 146 | Linear OA(27108, 767, F27, 40) (dual of [767, 659, 41]-code) | [i] | ||
| 147 | Linear OA(27102, 759, F27, 39) (dual of [759, 657, 40]-code) | [i] | ||
| 148 | Linear OA(27103, 761, F27, 39) (dual of [761, 658, 40]-code) | [i] | ||
| 149 | Linear OA(27104, 763, F27, 39) (dual of [763, 659, 40]-code) | [i] | ||
| 150 | Linear OA(27105, 765, F27, 39) (dual of [765, 660, 40]-code) | [i] | ||