Information on Result #1728224
Digital (55, 76, 1030)-net over F8, using net defined by OOA based on linear OOA(876, 1030, F8, 27, 21) (dual of [(1030, 27), 27734, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(876, 4121, F8, 3, 21) (dual of [(4121, 3), 12287, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(876, 4122, F8, 3, 21) (dual of [(4122, 3), 12290, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(876, 4122, F8, 21) (dual of [4122, 4046, 22]-code), using
- 19 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 14 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
- 19 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 14 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(876, 4122, F8, 21) (dual of [4122, 4046, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(876, 4122, F8, 3, 21) (dual of [(4122, 3), 12290, 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.