Information on Result #845914
Linear OOA(8103, 267, F8, 2, 37) (dual of [(267, 2), 431, 38]-NRT-code), using OOA 2-folding based on linear OA(8103, 534, F8, 37) (dual of [534, 431, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(8103, 535, F8, 37) (dual of [535, 432, 38]-code), using
- construction XX applied to C1 = C([507,29]), C2 = C([0,32]), C3 = C1 + C2 = C([0,29]), and C∩ = C1 ∩ C2 = C([507,32]) [i] based on
- linear OA(891, 511, F8, 34) (dual of [511, 420, 35]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−4,−3,…,29}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(885, 511, F8, 33) (dual of [511, 426, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(897, 511, F8, 37) (dual of [511, 414, 38]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−4,−3,…,32}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(879, 511, F8, 30) (dual of [511, 432, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,8)), using
- 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]
- construction XX applied to C1 = C([507,29]), C2 = C([0,32]), C3 = C1 + C2 = C([0,29]), and C∩ = C1 ∩ C2 = C([507,32]) [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.