Information on Result #827518
Linear OOA(4213, 687, F4, 2, 49) (dual of [(687, 2), 1161, 50]-NRT-code), using OOA 2-folding based on linear OA(4213, 1374, F4, 49) (dual of [1374, 1161, 50]-code), using
- discarding factors / shortening the dual code based on linear OA(4213, 1375, F4, 49) (dual of [1375, 1162, 50]-code), using
- construction XX applied to Ce(48) ⊂ Ce(46) ⊂ Ce(45) [i] based on
- 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(4199, 1366, F4, 46) (dual of [1366, 1167, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(41, 8, F4, 1) (dual of [8, 7, 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]
- construction XX applied to Ce(48) ⊂ Ce(46) ⊂ Ce(45) [i] based on
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
None.