Information on Result #1814414
Digital (13, 31, 783)-net over F256, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25631, 783, F256, 18) (dual of [783, 752, 19]-code), using
- 7 step Varšamov–Edel lengthening with (ri) = (1, 6 times 0) [i] based on linear OA(25630, 775, F256, 18) (dual of [775, 745, 19]-code), using
- construction XX applied to C1 = C([121,137]), C2 = C([120,136]), C3 = C1 + C2 = C([121,136]), and C∩ = C1 ∩ C2 = C([120,137]) [i] based on
- linear OA(25628, 771, F256, 17) (dual of [771, 743, 18]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {121,122,…,137}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(25628, 771, F256, 17) (dual of [771, 743, 18]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {120,121,…,136}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(25630, 771, F256, 18) (dual of [771, 741, 19]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {120,121,…,137}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(25626, 771, F256, 16) (dual of [771, 745, 17]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {121,122,…,136}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([121,137]), C2 = C([120,136]), C3 = C1 + C2 = C([121,136]), and C∩ = C1 ∩ C2 = C([120,137]) [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.