Information on Result #681821
Linear OA(479, 278, F4, 25) (dual of [278, 199, 26]-code), using construction XX applied to Ce(24) ⊂ Ce(20) ⊂ Ce(18) based on
- linear OA(471, 256, F4, 25) (dual of [256, 185, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(459, 256, F4, 21) (dual of [256, 197, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(455, 256, F4, 19) (dual of [256, 201, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(45, 19, F4, 3) (dual of [19, 14, 4]-code or 19-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
- linear OA(41, 3, F4, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- Reed–Solomon code RS(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
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.