Information on Result #707222
Linear OA(4124, 354, F4, 37) (dual of [354, 230, 38]-code), using construction X applied to C([313,8]) ⊂ C([313,5]) based on
- linear OA(4121, 341, F4, 37) (dual of [341, 220, 38]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−28,−27,…,8}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4111, 341, F4, 34) (dual of [341, 230, 35]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−28,−27,…,5}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(43, 13, F4, 2) (dual of [13, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4125, 355, F4, 37) (dual of [355, 230, 38]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4124, 177, F4, 2, 37) (dual of [(177, 2), 230, 38]-NRT-code) | [i] | OOA Folding | |