Information on Result #1727418
Digital (48, 62, 9811)-net over F8, using net defined by OOA based on linear OOA(862, 9811, F8, 21, 14) (dual of [(9811, 21), 205969, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(862, 29434, F8, 3, 14) (dual of [(29434, 3), 88240, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(862, 29436, F8, 3, 14) (dual of [(29436, 3), 88246, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(862, 29436, F8, 14) (dual of [29436, 29374, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(862, 32779, F8, 14) (dual of [32779, 32717, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(861, 32768, F8, 14) (dual of [32768, 32707, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(851, 32768, F8, 12) (dual of [32768, 32717, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(13) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(862, 32779, F8, 14) (dual of [32779, 32717, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(862, 29436, F8, 14) (dual of [29436, 29374, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(862, 29436, F8, 3, 14) (dual of [(29436, 3), 88246, 15]-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.