Information on Result #680078
Linear OA(4226, 1382, F4, 51) (dual of [1382, 1156, 52]-code), using construction XX applied to Ce(50) ⊂ Ce(48) ⊂ Ce(46) based on
- linear OA(4223, 1366, F4, 51) (dual of [1366, 1143, 52]-code), using an extension Ce(50) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(4211, 1366, F4, 49) (dual of [1366, 1155, 50]-code), using an extension Ce(48) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(4205, 1366, F4, 47) (dual of [1366, 1161, 48]-code), using an extension Ce(46) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [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(41, 2, F4, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [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(4226, 691, F4, 2, 51) (dual of [(691, 2), 1156, 52]-NRT-code) | [i] | OOA Folding | |