Information on Result #827661
Linear OOA(4221, 691, F4, 2, 50) (dual of [(691, 2), 1161, 51]-NRT-code), using OOA 2-folding based on linear OA(4221, 1382, F4, 50) (dual of [1382, 1161, 51]-code), using
- discarding factors / shortening the dual code based on linear OA(4221, 1383, F4, 50) (dual of [1383, 1162, 51]-code), using
- construction X applied to Ce(49) ⊂ Ce(45) [i] based on
- linear OA(4217, 1366, F4, 50) (dual of [1366, 1149, 51]-code), using an extension Ce(49) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [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(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- construction X applied to Ce(49) ⊂ 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.