Information on Result #1791765
Digital (16, 26, 353)-net over F8, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(826, 353, F8, 10) (dual of [353, 327, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(826, 518, F8, 10) (dual of [518, 492, 11]-code), using
- construction XX applied to C1 = C([65,73]), C2 = C([67,74]), C3 = C1 + C2 = C([67,73]), and C∩ = C1 ∩ C2 = C([65,74]) [i] based on
- linear OA(822, 511, F8, 9) (dual of [511, 489, 10]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {65,66,…,73}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(822, 511, F8, 8) (dual of [511, 489, 9]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {67,68,…,74}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(825, 511, F8, 10) (dual of [511, 486, 11]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {65,66,…,74}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(819, 511, F8, 7) (dual of [511, 492, 8]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {67,68,…,73}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(81, 4, F8, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- Reed–Solomon code RS(7,8) [i]
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- linear OA(80, 3, F8, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction XX applied to C1 = C([65,73]), C2 = C([67,74]), C3 = C1 + C2 = C([67,73]), and C∩ = C1 ∩ C2 = C([65,74]) [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.