Information on Result #975925
Linear OOA(723, 116, F7, 3, 9) (dual of [(116, 3), 325, 10]-NRT-code), using OOA 3-folding based on linear OA(723, 348, F7, 9) (dual of [348, 325, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(723, 349, F7, 9) (dual of [349, 326, 10]-code), using
- construction XX applied to C1 = C([50,57]), C2 = C([52,58]), C3 = C1 + C2 = C([52,57]), and C∩ = C1 ∩ C2 = C([50,58]) [i] based on
- linear OA(719, 342, F7, 8) (dual of [342, 323, 9]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {50,51,…,57}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(719, 342, F7, 7) (dual of [342, 323, 8]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {52,53,…,58}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(722, 342, F7, 9) (dual of [342, 320, 10]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {50,51,…,58}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(716, 342, F7, 6) (dual of [342, 326, 7]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {52,53,…,57}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(71, 4, F7, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction XX applied to C1 = C([50,57]), C2 = C([52,58]), C3 = C1 + C2 = C([52,57]), and C∩ = C1 ∩ C2 = C([50,58]) [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.