Information on Result #1727318
Digital (44, 57, 13878)-net over F8, using net defined by OOA based on linear OOA(857, 13878, F8, 15, 13) (dual of [(13878, 15), 208113, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(857, 27757, F8, 3, 13) (dual of [(27757, 3), 83214, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(857, 27757, F8, 13) (dual of [27757, 27700, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(857, 32779, F8, 13) (dual of [32779, 32722, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(856, 32768, F8, 13) (dual of [32768, 32712, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(846, 32768, F8, 11) (dual of [32768, 32722, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(81, 11, F8, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(857, 32779, F8, 13) (dual of [32779, 32722, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(857, 27757, F8, 13) (dual of [27757, 27700, 14]-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.