Information on Result #680071
Linear OA(4249, 1381, F4, 56) (dual of [1381, 1132, 57]-code), using construction XX applied to Ce(56) ⊂ Ce(53) ⊂ Ce(52) based on
- linear OA(4247, 1366, F4, 57) (dual of [1366, 1119, 58]-code), using an extension Ce(56) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(4235, 1366, F4, 54) (dual of [1366, 1131, 55]-code), using an extension Ce(53) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [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, 14, F4, 1) (dual of [14, 13, 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
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(4249, 690, F4, 2, 56) (dual of [(690, 2), 1131, 57]-NRT-code) | [i] | OOA Folding | |