Information on Result #617911
Linear OA(2754, 56, F27, 53) (dual of [56, 2, 54]-code), using the expurgated narrow-sense BCH-code C(I) with length 56 | 272−1, defining interval I = [0,40], and minimum distance d ≥ |{−12,−11,…,40}|+1 = 54 (BCH-bound)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2754, 56, F27, 52) (dual of [56, 2, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2753, 55, F27, 52) (dual of [55, 2, 53]-code) | [i] | Truncation | |
| 3 | Linear OA(2752, 54, F27, 51) (dual of [54, 2, 52]-code) | [i] | ||
| 4 | Linear OA(2751, 53, F27, 50) (dual of [53, 2, 51]-code) | [i] | ||
| 5 | Linear OA(2749, 51, F27, 48) (dual of [51, 2, 49]-code) | [i] | ||
| 6 | Linear OA(2748, 50, F27, 47) (dual of [50, 2, 48]-code) | [i] | ||
| 7 | Linear OA(2747, 49, F27, 46) (dual of [49, 2, 47]-code) | [i] | ||
| 8 | Linear OA(2746, 48, F27, 45) (dual of [48, 2, 46]-code) | [i] | ||
| 9 | Linear OA(2745, 47, F27, 44) (dual of [47, 2, 45]-code) | [i] | ||
| 10 | Linear OA(2744, 46, F27, 43) (dual of [46, 2, 44]-code) | [i] | ||
| 11 | Linear OA(2743, 45, F27, 42) (dual of [45, 2, 43]-code) | [i] | ||
| 12 | Linear OA(2742, 44, F27, 41) (dual of [44, 2, 42]-code) | [i] | ||
| 13 | Linear OA(2741, 43, F27, 40) (dual of [43, 2, 41]-code) | [i] | ||
| 14 | Linear OA(2740, 42, F27, 39) (dual of [42, 2, 40]-code) | [i] | ||
| 15 | Linear OA(2739, 41, F27, 38) (dual of [41, 2, 39]-code) | [i] | ||
| 16 | Linear OA(2738, 40, F27, 37) (dual of [40, 2, 38]-code) | [i] | ||
| 17 | Linear OA(2737, 39, F27, 36) (dual of [39, 2, 37]-code) | [i] | ||
| 18 | Linear OA(2736, 38, F27, 35) (dual of [38, 2, 36]-code) | [i] | ||
| 19 | Linear OA(2766, 69, F27, 53) (dual of [69, 3, 54]-code) | [i] | ✔ | Construction X with Cyclic Codes |