Information on Result #680036
Linear OA(4256, 1381, F4, 58) (dual of [1381, 1125, 59]-code), using construction X applied to Ce(57) ⊂ Ce(54) based on
- linear OA(4253, 1366, F4, 58) (dual of [1366, 1113, 59]-code), using an extension Ce(57) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(4241, 1366, F4, 55) (dual of [1366, 1125, 56]-code), using an extension Ce(54) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(43, 15, F4, 2) (dual of [15, 12, 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(4256, 690, F4, 2, 58) (dual of [(690, 2), 1124, 59]-NRT-code) | [i] | OOA Folding | |