Information on Result #611605
Linear OA(311, 15, F3, 8) (dual of [15, 4, 9]-code), using construction X applied to C([0,6]) ⊂ C([1,6]) based on
- linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]
- linear OA(39, 13, F3, 6) (dual of [13, 4, 7]-code), using the narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(387, 95, F3, 53) (dual of [95, 8, 54]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(387, 96, F3, 53) (dual of [96, 9, 54]-code) | [i] | Construction XX with Cyclic Codes | |
| 3 | Linear OA(3133, 147, F3, 74) (dual of [147, 14, 75]-code) | [i] | ||
| 4 | Linear OA(3248, 258, F3, 161) (dual of [258, 10, 162]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 5 | Linear OA(344, 55, F3, 21) (dual of [55, 11, 22]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 6 | Linear OA(3127, 136, F3, 80) (dual of [136, 9, 81]-code) | [i] | ||
| 7 | Linear OA(376, 96, F3, 36) (dual of [96, 20, 37]-code) | [i] | Construction X with Varšamov Bound | |
| 8 | Linear OA(378, 98, F3, 37) (dual of [98, 20, 38]-code) | [i] | ||
| 9 | Linear OA(3114, 138, F3, 54) (dual of [138, 24, 55]-code) | [i] | ||
| 10 | Linear OA(3115, 139, F3, 55) (dual of [139, 24, 56]-code) | [i] | ||
| 11 | Linear OA(3117, 141, F3, 56) (dual of [141, 24, 57]-code) | [i] | ||
| 12 | Linear OA(3137, 156, F3, 69) (dual of [156, 19, 70]-code) | [i] | ||
| 13 | Linear OA(3159, 181, F3, 79) (dual of [181, 22, 80]-code) | [i] | ||
| 14 | Linear OA(3160, 182, F3, 80) (dual of [182, 22, 81]-code) | [i] | ||
| 15 | Linear OA(3162, 184, F3, 81) (dual of [184, 22, 82]-code) | [i] | ||
| 16 | Linear OA(3199, 235, F3, 94) (dual of [235, 36, 95]-code) | [i] | ||
| 17 | Linear OA(3200, 236, F3, 95) (dual of [236, 36, 96]-code) | [i] | ||
| 18 | Linear OA(3202, 238, F3, 96) (dual of [238, 36, 97]-code) | [i] | ||
| 19 | Linear OA(3116, 141, F3, 55) (dual of [141, 25, 56]-code) | [i] | ||
| 20 | Linear OA(3123, 147, F3, 59) (dual of [147, 24, 60]-code) | [i] | ||
| 21 | Linear OA(3125, 149, F3, 60) (dual of [149, 24, 61]-code) | [i] | ||