Information on Result #1728524
Digital (65, 88, 1328)-net over F8, using net defined by OOA based on linear OOA(888, 1328, F8, 27, 23) (dual of [(1328, 27), 35768, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(888, 5313, F8, 3, 23) (dual of [(5313, 3), 15851, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(888, 5314, F8, 3, 23) (dual of [(5314, 3), 15854, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(888, 5314, F8, 23) (dual of [5314, 5226, 24]-code), using
- 1207 step Varšamov–Edel lengthening with (ri) = (2, 6 times 0, 1, 34 times 0, 1, 108 times 0, 1, 232 times 0, 1, 364 times 0, 1, 457 times 0) [i] based on linear OA(881, 4100, F8, 23) (dual of [4100, 4019, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(881, 4096, F8, 23) (dual of [4096, 4015, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(877, 4096, F8, 22) (dual of [4096, 4019, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(22) ⊂ Ce(21) [i] based on
- 1207 step Varšamov–Edel lengthening with (ri) = (2, 6 times 0, 1, 34 times 0, 1, 108 times 0, 1, 232 times 0, 1, 364 times 0, 1, 457 times 0) [i] based on linear OA(881, 4100, F8, 23) (dual of [4100, 4019, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(888, 5314, F8, 23) (dual of [5314, 5226, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(888, 5314, F8, 3, 23) (dual of [(5314, 3), 15854, 24]-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.