Information on Result #604691
Linear OA(454, 55, F4, 54) (dual of [55, 1, 55]-code or 55-arc in PG(53,4)), using dual of repetition code with length 55
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(454, 55, F4, 53) (dual of [55, 1, 54]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(454, 55, F4, 52) (dual of [55, 1, 53]-code) | [i] | ||
| 3 | Linear OA(454, 55, F4, 51) (dual of [55, 1, 52]-code) | [i] | ||
| 4 | Linear OA(454, 55, F4, 50) (dual of [55, 1, 51]-code) | [i] | ||
| 5 | Linear OA(454, 55, F4, 49) (dual of [55, 1, 50]-code) | [i] | ||
| 6 | Linear OA(454, 55, F4, 48) (dual of [55, 1, 49]-code) | [i] | ||
| 7 | Linear OA(454, 55, F4, 47) (dual of [55, 1, 48]-code) | [i] | ||
| 8 | Linear OA(454, 55, F4, 46) (dual of [55, 1, 47]-code) | [i] | ||
| 9 | Linear OA(454, 55, F4, 45) (dual of [55, 1, 46]-code) | [i] | ||
| 10 | Linear OA(454, 55, F4, 44) (dual of [55, 1, 45]-code) | [i] | ||
| 11 | Linear OA(4104, 132, F4, 54) (dual of [132, 28, 55]-code) | [i] | Varšamov–Edel Lengthening | |
| 12 | Linear OA(4112, 156, F4, 54) (dual of [156, 44, 55]-code) | [i] | ||
| 13 | Linear OA(4114, 163, F4, 54) (dual of [163, 49, 55]-code) | [i] | ||
| 14 | Linear OA(4117, 174, F4, 54) (dual of [174, 57, 55]-code) | [i] | ||
| 15 | Linear OA(4118, 178, F4, 54) (dual of [178, 60, 55]-code) | [i] | ||
| 16 | Linear OA(4119, 182, F4, 54) (dual of [182, 63, 55]-code) | [i] | ||
| 17 | Linear OA(4120, 186, F4, 54) (dual of [186, 66, 55]-code) | [i] | ||
| 18 | Linear OA(4121, 190, F4, 54) (dual of [190, 69, 55]-code) | [i] | ||
| 19 | Linear OA(4125, 208, F4, 54) (dual of [208, 83, 55]-code) | [i] | ||
| 20 | Linear OA(4130, 233, F4, 54) (dual of [233, 103, 55]-code) | [i] | ||
| 21 | Linear OA(4132, 244, F4, 54) (dual of [244, 112, 55]-code) | [i] | ||
| 22 | Linear OA(4133, 250, F4, 54) (dual of [250, 117, 55]-code) | [i] | ||
| 23 | Linear OA(4144, 324, F4, 54) (dual of [324, 180, 55]-code) | [i] | ||
| 24 | Linear OA(4157, 444, F4, 54) (dual of [444, 287, 55]-code) | [i] | ||
| 25 | Linear OA(4158, 455, F4, 54) (dual of [455, 297, 55]-code) | [i] | ||
| 26 | Linear OA(4160, 478, F4, 54) (dual of [478, 318, 55]-code) | [i] | ||
| 27 | Linear OA(4161, 490, F4, 54) (dual of [490, 329, 55]-code) | [i] | ||
| 28 | Linear OA(4165, 541, F4, 54) (dual of [541, 376, 55]-code) | [i] | ||
| 29 | Linear OA(4180, 788, F4, 54) (dual of [788, 608, 55]-code) | [i] | ||
| 30 | Linear OA(4181, 808, F4, 54) (dual of [808, 627, 55]-code) | [i] | ||
| 31 | Linear OA(4183, 850, F4, 54) (dual of [850, 667, 55]-code) | [i] | ||
| 32 | Linear OA(4184, 872, F4, 54) (dual of [872, 688, 55]-code) | [i] | ||
| 33 | Linear OA(4188, 965, F4, 54) (dual of [965, 777, 55]-code) | [i] | ||
| 34 | Linear OA(4189, 990, F4, 54) (dual of [990, 801, 55]-code) | [i] | ||
| 35 | Linear OA(4197, 1214, F4, 54) (dual of [1214, 1017, 55]-code) | [i] | ||
| 36 | Linear OA(4207, 1569, F4, 54) (dual of [1569, 1362, 55]-code) | [i] | ||
| 37 | Linear OA(4208, 1610, F4, 54) (dual of [1610, 1402, 55]-code) | [i] | ||
| 38 | Linear OA(4213, 1831, F4, 54) (dual of [1831, 1618, 55]-code) | [i] | ||
| 39 | Linear OA(4217, 2030, F4, 54) (dual of [2030, 1813, 55]-code) | [i] | ||
| 40 | Linear OA(4218, 2083, F4, 54) (dual of [2083, 1865, 55]-code) | [i] | ||
| 41 | Linear OA(4233, 3071, F4, 54) (dual of [3071, 2838, 55]-code) | [i] | ||