Information on Result #1727500
Digital (42, 57, 1458)-net over F8, using net defined by OOA based on linear OOA(857, 1458, F8, 21, 15) (dual of [(1458, 21), 30561, 16]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(857, 4375, F8, 3, 15) (dual of [(4375, 3), 13068, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(857, 4377, F8, 3, 15) (dual of [(4377, 3), 13074, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(857, 4377, F8, 15) (dual of [4377, 4320, 16]-code), using
- 273 step Varšamov–Edel lengthening with (ri) = (2, 6 times 0, 1, 51 times 0, 1, 213 times 0) [i] based on linear OA(853, 4100, F8, 15) (dual of [4100, 4047, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(853, 4096, F8, 15) (dual of [4096, 4043, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(849, 4096, F8, 14) (dual of [4096, 4047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(14) ⊂ Ce(13) [i] based on
- 273 step Varšamov–Edel lengthening with (ri) = (2, 6 times 0, 1, 51 times 0, 1, 213 times 0) [i] based on linear OA(853, 4100, F8, 15) (dual of [4100, 4047, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(857, 4377, F8, 15) (dual of [4377, 4320, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(857, 4377, F8, 3, 15) (dual of [(4377, 3), 13074, 16]-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.