Information on Result #845172
Linear OOA(8168, 131107, F8, 2, 29) (dual of [(131107, 2), 262046, 30]-NRT-code), using OOA 2-folding based on linear OA(8168, 262214, F8, 29) (dual of [262214, 262046, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(18) [i] based on
- linear OA(8151, 262144, F8, 29) (dual of [262144, 261993, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(897, 262144, F8, 19) (dual of [262144, 262047, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(817, 70, F8, 9) (dual of [70, 53, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(5) [i] based on
- linear OA(815, 64, F8, 9) (dual of [64, 49, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(811, 64, F8, 6) (dual of [64, 53, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(82, 6, F8, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,8)), using
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- construction X applied to Ce(8) ⊂ Ce(5) [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.