Information on Result #827380
Linear OOA(4215, 694, F4, 2, 48) (dual of [(694, 2), 1173, 49]-NRT-code), using OOA 2-folding based on linear OA(4215, 1388, F4, 48) (dual of [1388, 1173, 49]-code), using
- 1 times truncation [i] based on linear OA(4216, 1389, F4, 49) (dual of [1389, 1173, 50]-code), using
- construction X applied to Ce(48) ⊂ Ce(44) [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(4193, 1366, F4, 45) (dual of [1366, 1173, 46]-code), using an extension Ce(44) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(45, 23, F4, 3) (dual of [23, 18, 4]-code or 23-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(48) ⊂ Ce(44) [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.