Information on Result #1729314
Digital (72, 100, 823)-net over F8, using net defined by OOA based on linear OOA(8100, 823, F8, 33, 28) (dual of [(823, 33), 27059, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8100, 4116, F8, 3, 28) (dual of [(4116, 3), 12248, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8100, 4120, F8, 3, 28) (dual of [(4120, 3), 12260, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8100, 4120, F8, 28) (dual of [4120, 4020, 29]-code), using
- 17 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 12 times 0) [i] based on linear OA(897, 4100, F8, 28) (dual of [4100, 4003, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(897, 4096, F8, 28) (dual of [4096, 3999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(893, 4096, F8, 27) (dual of [4096, 4003, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(27) ⊂ Ce(26) [i] based on
- 17 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 12 times 0) [i] based on linear OA(897, 4100, F8, 28) (dual of [4100, 4003, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8100, 4120, F8, 28) (dual of [4120, 4020, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(8100, 4120, F8, 3, 28) (dual of [(4120, 3), 12260, 29]-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.