Information on Result #606407
Linear OA(2710, 27, F27, 10) (dual of [27, 17, 11]-code or 27-arc in PG(9,27)), using Reed–Solomon code RS(17,27)
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(27110, 765, F27, 40) (dual of [765, 655, 41]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(357, 108, F3, 21) (dual of [108, 51, 22]-code) | [i] | Concatenation of Two Codes | |
| 3 | Linear OA(356, 104, F3, 21) (dual of [104, 48, 22]-code) | [i] | ||
| 4 | Linear OA(355, 100, F3, 21) (dual of [100, 45, 22]-code) | [i] | ||
| 5 | Linear OA(354, 96, F3, 21) (dual of [96, 42, 22]-code) | [i] | ||
| 6 | Linear OA(353, 92, F3, 21) (dual of [92, 39, 22]-code) | [i] | ||
| 7 | Linear OA(352, 88, F3, 21) (dual of [88, 36, 22]-code) | [i] | ||
| 8 | Linear OA(347, 68, F3, 21) (dual of [68, 21, 22]-code) | [i] | ||
| 9 | Linear OA(346, 64, F3, 21) (dual of [64, 18, 22]-code) | [i] | ||
| 10 | Linear OA(3115, 136, F3, 54) (dual of [136, 21, 55]-code) | [i] | ||
| 11 | Linear OA(3144, 171, F3, 65) (dual of [171, 27, 66]-code) | [i] | ||
| 12 | Linear OA(3138, 162, F3, 65) (dual of [162, 24, 66]-code) | [i] | ||
| 13 | Linear OA(3132, 153, F3, 65) (dual of [153, 21, 66]-code) | [i] | ||
| 14 | Linear OA(3126, 144, F3, 65) (dual of [144, 18, 66]-code) | [i] | ||
| 15 | Linear OA(3120, 135, F3, 65) (dual of [135, 15, 66]-code) | [i] | ||
| 16 | Linear OA(3114, 126, F3, 65) (dual of [126, 12, 66]-code) | [i] | ||
| 17 | Linear OOA(399, 69, F3, 2, 43) (dual of [(69, 2), 39, 44]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 18 | Linear OOA(396, 66, F3, 2, 43) (dual of [(66, 2), 36, 44]-NRT-code) | [i] | ||
| 19 | Linear OOA(393, 63, F3, 2, 43) (dual of [(63, 2), 33, 44]-NRT-code) | [i] | ||
| 20 | Linear OOA(390, 60, F3, 2, 43) (dual of [(60, 2), 30, 44]-NRT-code) | [i] | ||
| 21 | Linear OOA(387, 57, F3, 2, 43) (dual of [(57, 2), 27, 44]-NRT-code) | [i] | ||
| 22 | Linear OOA(384, 54, F3, 2, 43) (dual of [(54, 2), 24, 44]-NRT-code) | [i] | ||
| 23 | Linear OOA(381, 51, F3, 2, 43) (dual of [(51, 2), 21, 44]-NRT-code) | [i] | ||
| 24 | Linear OOA(378, 48, F3, 2, 43) (dual of [(48, 2), 18, 44]-NRT-code) | [i] | ||
| 25 | Linear OOA(3110, 64, F3, 2, 65) (dual of [(64, 2), 18, 66]-NRT-code) | [i] | ||
| 26 | Linear OOA(3105, 60, F3, 2, 65) (dual of [(60, 2), 15, 66]-NRT-code) | [i] | ||
| 27 | Linear OOA(3100, 56, F3, 2, 65) (dual of [(56, 2), 12, 66]-NRT-code) | [i] | ||
| 28 | Linear OOA(395, 52, F3, 2, 65) (dual of [(52, 2), 9, 66]-NRT-code) | [i] | ||
| 29 | Linear OOA(390, 48, F3, 2, 65) (dual of [(48, 2), 6, 66]-NRT-code) | [i] | ||
| 30 | Linear OOA(3162, 84, F3, 2, 120) (dual of [(84, 2), 6, 121]-NRT-code) | [i] | ||
| 31 | Linear OOA(3138, 48, F3, 3, 109) (dual of [(48, 3), 6, 110]-NRT-code) | [i] | ||
| 32 | Linear OA(2799, 114, F27, 79) (dual of [114, 15, 80]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 33 | Linear OA(2798, 114, F27, 78) (dual of [114, 16, 79]-code) | [i] | ||
| 34 | Linear OA(2797, 114, F27, 77) (dual of [114, 17, 78]-code) | [i] | ||
| 35 | Linear OA(2796, 114, F27, 76) (dual of [114, 18, 77]-code) | [i] | ||
| 36 | Linear OA(2795, 114, F27, 75) (dual of [114, 19, 76]-code) | [i] | ||
| 37 | Linear OA(2794, 114, F27, 74) (dual of [114, 20, 75]-code) | [i] | ||
| 38 | Linear OA(2793, 114, F27, 73) (dual of [114, 21, 74]-code) | [i] | ||
| 39 | Linear OA(2792, 114, F27, 72) (dual of [114, 22, 73]-code) | [i] | ||
| 40 | Linear OA(2791, 114, F27, 71) (dual of [114, 23, 72]-code) | [i] | ||
| 41 | Linear OA(2790, 114, F27, 70) (dual of [114, 24, 71]-code) | [i] | ||
| 42 | Linear OA(2789, 114, F27, 69) (dual of [114, 25, 70]-code) | [i] | ||
| 43 | Linear OA(2788, 114, F27, 68) (dual of [114, 26, 69]-code) | [i] | ||
| 44 | Linear OA(2787, 114, F27, 67) (dual of [114, 27, 68]-code) | [i] | ||
| 45 | Linear OA(2786, 114, F27, 66) (dual of [114, 28, 67]-code) | [i] | ||
| 46 | Linear OA(2785, 114, F27, 65) (dual of [114, 29, 66]-code) | [i] | ||
| 47 | Linear OA(2784, 114, F27, 64) (dual of [114, 30, 65]-code) | [i] | ||
| 48 | Linear OA(2783, 114, F27, 63) (dual of [114, 31, 64]-code) | [i] | ||
| 49 | Linear OA(2782, 114, F27, 62) (dual of [114, 32, 63]-code) | [i] | ||
| 50 | Linear OA(2781, 114, F27, 61) (dual of [114, 33, 62]-code) | [i] | ||
| 51 | Linear OA(2780, 114, F27, 60) (dual of [114, 34, 61]-code) | [i] | ||
| 52 | Linear OA(2779, 114, F27, 59) (dual of [114, 35, 60]-code) | [i] | ||
| 53 | Linear OA(2778, 114, F27, 58) (dual of [114, 36, 59]-code) | [i] | ||
| 54 | Linear OA(2777, 114, F27, 57) (dual of [114, 37, 58]-code) | [i] | ||
| 55 | Linear OA(2776, 114, F27, 56) (dual of [114, 38, 57]-code) | [i] | ||
| 56 | Linear OA(2775, 114, F27, 55) (dual of [114, 39, 56]-code) | [i] | ||
| 57 | Linear OA(2774, 114, F27, 54) (dual of [114, 40, 55]-code) | [i] | ||
| 58 | Linear OA(2773, 114, F27, 53) (dual of [114, 41, 54]-code) | [i] | ||
| 59 | Linear OA(2772, 114, F27, 52) (dual of [114, 42, 53]-code) | [i] | ||
| 60 | Linear OA(2771, 114, F27, 51) (dual of [114, 43, 52]-code) | [i] | ||
| 61 | Linear OA(2770, 114, F27, 50) (dual of [114, 44, 51]-code) | [i] | ||
| 62 | Linear OA(2769, 114, F27, 49) (dual of [114, 45, 50]-code) | [i] | ||
| 63 | Linear OA(2768, 114, F27, 48) (dual of [114, 46, 49]-code) | [i] | ||
| 64 | Linear OA(2767, 114, F27, 47) (dual of [114, 47, 48]-code) | [i] | ||
| 65 | Linear OA(2766, 114, F27, 46) (dual of [114, 48, 47]-code) | [i] | ||
| 66 | Linear OA(2765, 114, F27, 45) (dual of [114, 49, 46]-code) | [i] | ||
| 67 | Linear OA(2764, 114, F27, 44) (dual of [114, 50, 45]-code) | [i] | ||
| 68 | Linear OA(2763, 114, F27, 43) (dual of [114, 51, 44]-code) | [i] | ||
| 69 | Linear OA(2762, 114, F27, 42) (dual of [114, 52, 43]-code) | [i] | ||
| 70 | Linear OA(2761, 114, F27, 41) (dual of [114, 53, 42]-code) | [i] | ||
| 71 | Linear OA(2760, 114, F27, 40) (dual of [114, 54, 41]-code) | [i] | ||
| 72 | Linear OA(2759, 114, F27, 39) (dual of [114, 55, 40]-code) | [i] | ||
| 73 | Linear OA(2758, 114, F27, 38) (dual of [114, 56, 39]-code) | [i] | ||
| 74 | Linear OA(2757, 114, F27, 37) (dual of [114, 57, 38]-code) | [i] | ||
| 75 | Linear OA(2756, 114, F27, 36) (dual of [114, 58, 37]-code) | [i] | ||
| 76 | Linear OA(2755, 114, F27, 35) (dual of [114, 59, 36]-code) | [i] | ||
| 77 | Linear OA(2754, 114, F27, 34) (dual of [114, 60, 35]-code) | [i] | ||
| 78 | Linear OA(2753, 114, F27, 33) (dual of [114, 61, 34]-code) | [i] | ||
| 79 | Linear OA(2752, 114, F27, 32) (dual of [114, 62, 33]-code) | [i] | ||
| 80 | Linear OA(2751, 114, F27, 31) (dual of [114, 63, 32]-code) | [i] | ||
| 81 | Linear OA(2750, 114, F27, 30) (dual of [114, 64, 31]-code) | [i] | ||
| 82 | Linear OA(2749, 114, F27, 29) (dual of [114, 65, 30]-code) | [i] | ||
| 83 | Linear OA(2748, 114, F27, 28) (dual of [114, 66, 29]-code) | [i] | ||
| 84 | Linear OA(2747, 114, F27, 27) (dual of [114, 67, 28]-code) | [i] | ||
| 85 | Linear OA(2746, 114, F27, 26) (dual of [114, 68, 27]-code) | [i] | ||
| 86 | Linear OA(27110, 228, F27, 76) (dual of [228, 118, 77]-code) | [i] | ||
| 87 | Linear OA(27109, 228, F27, 75) (dual of [228, 119, 76]-code) | [i] | ||
| 88 | Linear OA(27108, 228, F27, 74) (dual of [228, 120, 75]-code) | [i] | ||
| 89 | Linear OA(27107, 228, F27, 73) (dual of [228, 121, 74]-code) | [i] | ||
| 90 | Linear OA(27106, 228, F27, 72) (dual of [228, 122, 73]-code) | [i] | ||
| 91 | Linear OA(27105, 228, F27, 71) (dual of [228, 123, 72]-code) | [i] | ||
| 92 | Linear OA(27104, 228, F27, 70) (dual of [228, 124, 71]-code) | [i] | ||
| 93 | Linear OA(27103, 228, F27, 69) (dual of [228, 125, 70]-code) | [i] | ||
| 94 | Linear OA(27102, 228, F27, 68) (dual of [228, 126, 69]-code) | [i] | ||
| 95 | Linear OA(27101, 228, F27, 67) (dual of [228, 127, 68]-code) | [i] | ||
| 96 | Linear OA(27100, 228, F27, 66) (dual of [228, 128, 67]-code) | [i] | ||
| 97 | Linear OA(2799, 228, F27, 65) (dual of [228, 129, 66]-code) | [i] | ||
| 98 | Linear OA(2798, 228, F27, 64) (dual of [228, 130, 65]-code) | [i] | ||
| 99 | Linear OA(2797, 228, F27, 63) (dual of [228, 131, 64]-code) | [i] | ||
| 100 | Linear OA(2796, 228, F27, 62) (dual of [228, 132, 63]-code) | [i] | ||
| 101 | Linear OA(2795, 228, F27, 61) (dual of [228, 133, 62]-code) | [i] | ||
| 102 | Linear OA(2794, 228, F27, 60) (dual of [228, 134, 61]-code) | [i] | ||
| 103 | Linear OA(2793, 228, F27, 59) (dual of [228, 135, 60]-code) | [i] | ||
| 104 | Linear OA(2792, 228, F27, 58) (dual of [228, 136, 59]-code) | [i] | ||
| 105 | Linear OA(2791, 228, F27, 57) (dual of [228, 137, 58]-code) | [i] | ||
| 106 | Linear OA(2790, 228, F27, 56) (dual of [228, 138, 57]-code) | [i] | ||
| 107 | Linear OA(2789, 228, F27, 55) (dual of [228, 139, 56]-code) | [i] | ||
| 108 | Linear OA(2788, 228, F27, 54) (dual of [228, 140, 55]-code) | [i] | ||
| 109 | Linear OA(2787, 228, F27, 53) (dual of [228, 141, 54]-code) | [i] | ||
| 110 | Linear OA(2786, 228, F27, 52) (dual of [228, 142, 53]-code) | [i] | ||
| 111 | Linear OA(2782, 753, F27, 32) (dual of [753, 671, 33]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 112 | Linear OA(2783, 755, F27, 32) (dual of [755, 672, 33]-code) | [i] | ||
| 113 | Linear OA(2785, 759, F27, 32) (dual of [759, 674, 33]-code) | [i] | ||
| 114 | Linear OA(2780, 753, F27, 31) (dual of [753, 673, 32]-code) | [i] | ||
| 115 | Linear OA(2781, 755, F27, 31) (dual of [755, 674, 32]-code) | [i] | ||
| 116 | Linear OA(27110, 19707, F27, 31) (dual of [19707, 19597, 32]-code) | [i] | ||
| 117 | Linear OA(2778, 753, F27, 30) (dual of [753, 675, 31]-code) | [i] | ||
| 118 | Linear OA(2779, 755, F27, 30) (dual of [755, 676, 31]-code) | [i] | ||
| 119 | Linear OA(2780, 757, F27, 30) (dual of [757, 677, 31]-code) | [i] | ||
| 120 | Linear OA(27107, 19707, F27, 30) (dual of [19707, 19600, 31]-code) | [i] | ||
| 121 | Linear OA(27108, 19709, F27, 30) (dual of [19709, 19601, 31]-code) | [i] | ||
| 122 | Linear OA(27109, 19711, F27, 30) (dual of [19711, 19602, 31]-code) | [i] | ||
| 123 | Linear OA(27110, 206, F27, 62) (dual of [206, 96, 63]-code) | [i] | Construction X with Cyclic Codes | |