Information on Result #1428530
Linear OOA(4200, 15045, F4, 2, 36) (dual of [(15045, 2), 29890, 37]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4200, 15045, F4, 36) (dual of [15045, 14845, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(4200, 16406, F4, 36) (dual of [16406, 16206, 37]-code), using
- construction X applied to C([0,18]) ⊂ C([0,16]) [i] based on
- linear OA(4197, 16385, F4, 37) (dual of [16385, 16188, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(4169, 16385, F4, 33) (dual of [16385, 16216, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to C([0,18]) ⊂ C([0,16]) [i] based on
Mode: 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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4200, 7522, F4, 3, 36) (dual of [(7522, 3), 22366, 37]-NRT-code) | [i] | OOA Folding | |