Information on Result #707252
Linear OA(4173, 354, F4, 53) (dual of [354, 181, 54]-code), using construction X applied to C([91,143]) ⊂ C([91,140]) based on
- linear OA(4170, 341, F4, 53) (dual of [341, 171, 54]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {91,92,…,143}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(4160, 341, F4, 50) (dual of [341, 181, 51]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {91,92,…,140}, and designed minimum distance d ≥ |I|+1 = 51 [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 OOA(4173, 177, F4, 2, 53) (dual of [(177, 2), 181, 54]-NRT-code) | [i] | OOA Folding | |