Information on Result #606808
Linear OA(87, 9, F8, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,8)), using extended Reed–Solomon code RSe(2,8)
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8169, 171, F8, 151) (dual of [171, 2, 152]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(8160, 162, F8, 143) (dual of [162, 2, 144]-code) | [i] | ||
| 3 | Linear OA(8151, 153, F8, 135) (dual of [153, 2, 136]-code) | [i] | ||
| 4 | Linear OA(8142, 144, F8, 127) (dual of [144, 2, 128]-code) | [i] | ||
| 5 | Linear OA(8133, 135, F8, 119) (dual of [135, 2, 120]-code) | [i] | ||
| 6 | Linear OA(8124, 126, F8, 111) (dual of [126, 2, 112]-code) | [i] | ||
| 7 | Linear OA(8115, 117, F8, 103) (dual of [117, 2, 104]-code) | [i] | ||
| 8 | Linear OA(8106, 108, F8, 95) (dual of [108, 2, 96]-code) | [i] | ||
| 9 | Linear OA(897, 99, F8, 87) (dual of [99, 2, 88]-code) | [i] | ||
| 10 | Linear OA(888, 90, F8, 79) (dual of [90, 2, 80]-code) | [i] | ||
| 11 | Linear OA(879, 81, F8, 71) (dual of [81, 2, 72]-code) | [i] | ||
| 12 | Linear OA(852, 54, F8, 47) (dual of [54, 2, 48]-code) | [i] | ||
| 13 | Linear OA(843, 45, F8, 39) (dual of [45, 2, 40]-code) | [i] | ||
| 14 | Linear OA(834, 36, F8, 31) (dual of [36, 2, 32]-code) | [i] | ||
| 15 | Linear OA(816, 18, F8, 15) (dual of [18, 2, 16]-code) | [i] | ||
| 16 | Linear OA(8161, 32795, F8, 31) (dual of [32795, 32634, 32]-code) | [i] | Generalized (u, u+v)-Construction | |
| 17 | Linear OA(8156, 32795, F8, 30) (dual of [32795, 32639, 31]-code) | [i] | ||
| 18 | Linear OA(8147, 153, F8, 119) (dual of [153, 6, 120]-code) | [i] | Concatenation of Two Codes | |
| 19 | Linear OA(8140, 144, F8, 119) (dual of [144, 4, 120]-code) | [i] | ||
| 20 | Linear OA(8156, 162, F8, 127) (dual of [162, 6, 128]-code) | [i] | ||
| 21 | Linear OA(8149, 153, F8, 127) (dual of [153, 4, 128]-code) | [i] | ||
| 22 | Linear OA(8172, 180, F8, 135) (dual of [180, 8, 136]-code) | [i] | ||
| 23 | Linear OA(8165, 171, F8, 135) (dual of [171, 6, 136]-code) | [i] | ||
| 24 | Linear OA(8158, 162, F8, 135) (dual of [162, 4, 136]-code) | [i] | ||
| 25 | Linear OOA(248, 27, F2, 2, 31) (dual of [(27, 2), 6, 32]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 26 | Linear OOA(284, 45, F2, 2, 55) (dual of [(45, 2), 6, 56]-NRT-code) | [i] | ||
| 27 | Linear OOA(2138, 72, F2, 2, 87) (dual of [(72, 2), 6, 88]-NRT-code) | [i] | ||
| 28 | Linear OOA(275, 27, F2, 3, 55) (dual of [(27, 3), 6, 56]-NRT-code) | [i] | ||
| 29 | Linear OOA(2102, 36, F2, 3, 71) (dual of [(36, 3), 6, 72]-NRT-code) | [i] | ||
| 30 | Linear OOA(2129, 45, F2, 3, 95) (dual of [(45, 3), 6, 96]-NRT-code) | [i] | ||
| 31 | Linear OOA(2210, 72, F2, 3, 151) (dual of [(72, 3), 6, 152]-NRT-code) | [i] | ||
| 32 | Linear OOA(2102, 27, F2, 4, 79) (dual of [(27, 4), 6, 80]-NRT-code) | [i] | ||
| 33 | Linear OOA(2174, 45, F2, 4, 135) (dual of [(45, 4), 6, 136]-NRT-code) | [i] | ||
| 34 | Linear OOA(2246, 63, F2, 4, 183) (dual of [(63, 4), 6, 184]-NRT-code) | [i] | ||
| 35 | Linear OOA(2219, 45, F2, 5, 175) (dual of [(45, 5), 6, 176]-NRT-code) | [i] | ||
| 36 | Linear OA(8117, 32787, F8, 23) (dual of [32787, 32670, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 37 | Linear OA(8157, 2097171, F8, 23) (dual of [2097171, 2097014, 24]-code) | [i] | ||
| 38 | Linear OA(8112, 32786, F8, 22) (dual of [32786, 32674, 23]-code) | [i] | ||
| 39 | Linear OA(8150, 2097170, F8, 22) (dual of [2097170, 2097020, 23]-code) | [i] | ||
| 40 | Linear OA(8107, 32787, F8, 21) (dual of [32787, 32680, 22]-code) | [i] | ||
| 41 | Linear OA(8143, 2097171, F8, 21) (dual of [2097171, 2097028, 22]-code) | [i] | ||
| 42 | Linear OA(8112, 124, F8, 81) (dual of [124, 12, 82]-code) | [i] | Construction X with Varšamov Bound | |
| 43 | Linear OA(8113, 125, F8, 82) (dual of [125, 12, 83]-code) | [i] | ||
| 44 | Linear OA(8114, 126, F8, 83) (dual of [126, 12, 84]-code) | [i] | ||
| 45 | Linear OA(8115, 127, F8, 84) (dual of [127, 12, 85]-code) | [i] | ||
| 46 | Linear OA(8116, 128, F8, 85) (dual of [128, 12, 86]-code) | [i] | ||
| 47 | Linear OA(8125, 135, F8, 93) (dual of [135, 10, 94]-code) | [i] | ||
| 48 | Linear OA(8126, 136, F8, 94) (dual of [136, 10, 95]-code) | [i] | ||
| 49 | Linear OA(8126, 137, F8, 93) (dual of [137, 11, 94]-code) | [i] | ||
| 50 | Linear OA(8127, 137, F8, 95) (dual of [137, 10, 96]-code) | [i] | ||
| 51 | Linear OA(8130, 140, F8, 97) (dual of [140, 10, 98]-code) | [i] | ||
| 52 | Linear OA(8131, 141, F8, 98) (dual of [141, 10, 99]-code) | [i] | ||
| 53 | Linear OA(8127, 138, F8, 94) (dual of [138, 11, 95]-code) | [i] | ||
| 54 | Linear OA(8128, 138, F8, 96) (dual of [138, 10, 97]-code) | [i] | ||
| 55 | Linear OA(8128, 139, F8, 95) (dual of [139, 11, 96]-code) | [i] | ||
| 56 | Linear OA(8131, 142, F8, 97) (dual of [142, 11, 98]-code) | [i] | ||
| 57 | Linear OA(8132, 142, F8, 99) (dual of [142, 10, 100]-code) | [i] | ||