Information on Result #1789510
Digital (14, 23, 252)-net over F7, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(723, 252, F7, 9) (dual of [252, 229, 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: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.