Information on Result #631577
Linear OA(376, 112, F3, 33) (dual of [112, 36, 34]-code), using concatenation of two codes based on
- linear OA(2716, 28, F27, 16) (dual of [28, 12, 17]-code or 28-arc in PG(15,27)), using
- extended Reed–Solomon code RSe(12,27) [i]
- linear OA(31, 4, F3, 1) (dual of [4, 3, 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(376, 112, F3, 32) (dual of [112, 36, 33]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(377, 113, F3, 33) (dual of [113, 36, 34]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(378, 114, F3, 33) (dual of [114, 36, 34]-code) | [i] | ||
| 4 | Linear OA(379, 115, F3, 33) (dual of [115, 36, 34]-code) | [i] | ||
| 5 | Linear OA(380, 116, F3, 33) (dual of [116, 36, 34]-code) | [i] | ||
| 6 | Linear OA(375, 111, F3, 32) (dual of [111, 36, 33]-code) | [i] | Truncation | |
| 7 | Linear OA(381, 121, F3, 33) (dual of [121, 40, 34]-code) | [i] | Varšamov–Edel Lengthening | |
| 8 | Linear OA(379, 116, F3, 33) (dual of [116, 37, 34]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OA(380, 118, F3, 33) (dual of [118, 38, 34]-code) | [i] | ||
| 10 | Linear OOA(376, 56, F3, 2, 33) (dual of [(56, 2), 36, 34]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(376, 37, F3, 3, 33) (dual of [(37, 3), 35, 34]-NRT-code) | [i] | ||