Information on Result #1728094
Digital (54, 74, 1054)-net over F8, using net defined by OOA based on linear OOA(874, 1054, F8, 27, 20) (dual of [(1054, 27), 28384, 21]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(874, 4217, F8, 3, 20) (dual of [(4217, 3), 12577, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(874, 4218, F8, 3, 20) (dual of [(4218, 3), 12580, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(874, 4218, F8, 20) (dual of [4218, 4144, 21]-code), using
- 113 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 8 times 0, 1, 27 times 0, 1, 72 times 0) [i] based on linear OA(869, 4100, F8, 20) (dual of [4100, 4031, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- 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(865, 4096, F8, 19) (dual of [4096, 4031, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(19) ⊂ Ce(18) [i] based on
- 113 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 8 times 0, 1, 27 times 0, 1, 72 times 0) [i] based on linear OA(869, 4100, F8, 20) (dual of [4100, 4031, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(874, 4218, F8, 20) (dual of [4218, 4144, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(874, 4218, F8, 3, 20) (dual of [(4218, 3), 12580, 21]-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.