Information on Result #680039
Linear OA(4242, 1379, F4, 55) (dual of [1379, 1137, 56]-code), using construction X applied to Ce(54) ⊂ Ce(52) based on
- 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(4229, 1366, F4, 53) (dual of [1366, 1137, 54]-code), using an extension Ce(52) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(41, 13, F4, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4243, 1380, F4, 55) (dual of [1380, 1137, 56]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4242, 689, F4, 2, 55) (dual of [(689, 2), 1136, 56]-NRT-code) | [i] | OOA Folding | |