Information on Result #1728230
Digital (58, 79, 1128)-net over F8, using net defined by OOA based on linear OOA(879, 1128, F8, 27, 21) (dual of [(1128, 27), 30377, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(879, 4513, F8, 3, 21) (dual of [(4513, 3), 13460, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(879, 4516, F8, 3, 21) (dual of [(4516, 3), 13469, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(879, 4516, F8, 21) (dual of [4516, 4437, 22]-code), using
- 410 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 14 times 0, 1, 43 times 0, 1, 110 times 0, 1, 235 times 0) [i] based on linear OA(873, 4100, F8, 21) (dual of [4100, 4027, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(873, 4096, F8, 21) (dual of [4096, 4023, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(869, 4096, F8, 20) (dual of [4096, 4027, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 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 X applied to Ce(20) ⊂ Ce(19) [i] based on
- 410 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 14 times 0, 1, 43 times 0, 1, 110 times 0, 1, 235 times 0) [i] based on linear OA(873, 4100, F8, 21) (dual of [4100, 4027, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(879, 4516, F8, 21) (dual of [4516, 4437, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(879, 4516, F8, 3, 21) (dual of [(4516, 3), 13469, 22]-NRT-code), using
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.