Information on Result #604441
Linear OA(355, 56, F3, 55) (dual of [56, 1, 56]-code or 56-arc in PG(54,3)), using dual of repetition code with length 56
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(355, 56, F3, 54) (dual of [56, 1, 55]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(355, 56, F3, 53) (dual of [56, 1, 54]-code) | [i] | ||
| 3 | Linear OA(355, 56, F3, 52) (dual of [56, 1, 53]-code) | [i] | ||
| 4 | Linear OA(355, 56, F3, 51) (dual of [56, 1, 52]-code) | [i] | ||
| 5 | Linear OA(355, 56, F3, 50) (dual of [56, 1, 51]-code) | [i] | ||
| 6 | Linear OA(355, 56, F3, 49) (dual of [56, 1, 50]-code) | [i] | ||
| 7 | Linear OA(355, 56, F3, 48) (dual of [56, 1, 49]-code) | [i] | ||
| 8 | Linear OA(355, 56, F3, 47) (dual of [56, 1, 48]-code) | [i] | ||
| 9 | Linear OA(355, 56, F3, 46) (dual of [56, 1, 47]-code) | [i] | ||
| 10 | Linear OA(355, 56, F3, 45) (dual of [56, 1, 46]-code) | [i] | ||
| 11 | Linear OA(355, 56, F3, 44) (dual of [56, 1, 45]-code) | [i] | ||
| 12 | Linear OA(355, 56, F3, 43) (dual of [56, 1, 44]-code) | [i] | ||
| 13 | Linear OA(355, 56, F3, 42) (dual of [56, 1, 43]-code) | [i] | ||
| 14 | Linear OA(3123, 156, F3, 55) (dual of [156, 33, 56]-code) | [i] | Varšamov–Edel Lengthening | |
| 15 | Linear OA(3126, 164, F3, 55) (dual of [164, 38, 56]-code) | [i] | ||
| 16 | Linear OA(3127, 167, F3, 55) (dual of [167, 40, 56]-code) | [i] | ||
| 17 | Linear OA(3137, 198, F3, 55) (dual of [198, 61, 56]-code) | [i] | ||
| 18 | Linear OA(3139, 205, F3, 55) (dual of [205, 66, 56]-code) | [i] | ||
| 19 | Linear OA(3142, 216, F3, 55) (dual of [216, 74, 56]-code) | [i] | ||
| 20 | Linear OA(3143, 220, F3, 55) (dual of [220, 77, 56]-code) | [i] | ||
| 21 | Linear OA(3144, 224, F3, 55) (dual of [224, 80, 56]-code) | [i] | ||
| 22 | Linear OA(3145, 228, F3, 55) (dual of [228, 83, 56]-code) | [i] | ||
| 23 | Linear OA(3146, 232, F3, 55) (dual of [232, 86, 56]-code) | [i] | ||
| 24 | Linear OA(3151, 254, F3, 55) (dual of [254, 103, 56]-code) | [i] | ||
| 25 | Linear OA(3154, 268, F3, 55) (dual of [268, 114, 56]-code) | [i] | ||
| 26 | Linear OA(3155, 273, F3, 55) (dual of [273, 118, 56]-code) | [i] | ||
| 27 | Linear OA(3156, 278, F3, 55) (dual of [278, 122, 56]-code) | [i] | ||
| 28 | Linear OA(3161, 305, F3, 55) (dual of [305, 144, 56]-code) | [i] | ||
| 29 | Linear OA(3169, 354, F3, 55) (dual of [354, 185, 56]-code) | [i] | ||
| 30 | Linear OA(3181, 444, F3, 55) (dual of [444, 263, 56]-code) | [i] | ||
| 31 | Linear OA(3187, 498, F3, 55) (dual of [498, 311, 56]-code) | [i] | ||
| 32 | Linear OA(3194, 570, F3, 55) (dual of [570, 376, 56]-code) | [i] | ||
| 33 | Linear OA(3198, 616, F3, 55) (dual of [616, 418, 56]-code) | [i] | ||
| 34 | Linear OA(3202, 666, F3, 55) (dual of [666, 464, 56]-code) | [i] | ||
| 35 | Linear OA(3203, 679, F3, 55) (dual of [679, 476, 56]-code) | [i] | ||
| 36 | Linear OA(3206, 720, F3, 55) (dual of [720, 514, 56]-code) | [i] | ||
| 37 | Linear OA(3208, 749, F3, 55) (dual of [749, 541, 56]-code) | [i] | ||
| 38 | Linear OA(3209, 764, F3, 55) (dual of [764, 555, 56]-code) | [i] | ||
| 39 | Linear OA(3210, 779, F3, 55) (dual of [779, 569, 56]-code) | [i] | ||
| 40 | Linear OA(3212, 810, F3, 55) (dual of [810, 598, 56]-code) | [i] | ||
| 41 | Linear OA(3225, 1047, F3, 55) (dual of [1047, 822, 56]-code) | [i] | ||
| 42 | Linear OA(3226, 1068, F3, 55) (dual of [1068, 842, 56]-code) | [i] | ||
| 43 | Linear OA(3232, 1203, F3, 55) (dual of [1203, 971, 56]-code) | [i] | ||
| 44 | Linear OA(3234, 1252, F3, 55) (dual of [1252, 1018, 56]-code) | [i] | ||
| 45 | Linear OA(3235, 1277, F3, 55) (dual of [1277, 1042, 56]-code) | [i] | ||
| 46 | Linear OA(3236, 1303, F3, 55) (dual of [1303, 1067, 56]-code) | [i] | ||
| 47 | Linear OA(3237, 1329, F3, 55) (dual of [1329, 1092, 56]-code) | [i] | ||
| 48 | Linear OA(3238, 1356, F3, 55) (dual of [1356, 1118, 56]-code) | [i] | ||
| 49 | Linear OA(3239, 1383, F3, 55) (dual of [1383, 1144, 56]-code) | [i] | ||
| 50 | Linear OA(3240, 1411, F3, 55) (dual of [1411, 1171, 56]-code) | [i] | ||
| 51 | Linear OA(3243, 1498, F3, 55) (dual of [1498, 1255, 56]-code) | [i] | ||
| 52 | Linear OA(3245, 1559, F3, 55) (dual of [1559, 1314, 56]-code) | [i] | ||
| 53 | Linear OA(3249, 1689, F3, 55) (dual of [1689, 1440, 56]-code) | [i] | ||
| 54 | Linear OA(3250, 1723, F3, 55) (dual of [1723, 1473, 56]-code) | [i] | ||