Information on Result #962446
Linear OOA(448, 24, F4, 3, 26) (dual of [(24, 3), 24, 27]-NRT-code), using OOA 3-folding based on linear OA(448, 72, F4, 26) (dual of [72, 24, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(448, 73, F4, 26) (dual of [73, 25, 27]-code), using
- construction X applied to C([0,77]) ⊂ C([0,65]) [i] based on
- linear OA(444, 63, F4, 26) (dual of [63, 19, 27]-code), using contraction [i] based on linear OA(4170, 189, F4, 80) (dual of [189, 19, 81]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,77], and minimum distance d ≥ |{−2,−1,…,77}|+1 = 81 (BCH-bound) [i]
- linear OA(438, 63, F4, 22) (dual of [63, 25, 23]-code), using contraction [i] based on linear OA(4164, 189, F4, 68) (dual of [189, 25, 69]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,65], and minimum distance d ≥ |{−2,−1,…,65}|+1 = 69 (BCH-bound) [i]
- linear OA(44, 10, F4, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,4)), using
- construction X applied to C([0,77]) ⊂ C([0,65]) [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.