Information on Result #1727072
Digital (43, 53, 131082)-net over F8, using net defined by OOA based on linear OOA(853, 131082, F8, 15, 10) (dual of [(131082, 15), 1966177, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(853, 262165, F8, 3, 10) (dual of [(262165, 3), 786442, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(853, 262166, F8, 3, 10) (dual of [(262166, 3), 786445, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(853, 262166, F8, 10) (dual of [262166, 262113, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(5) [i] based on
- linear OA(849, 262144, F8, 10) (dual of [262144, 262095, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(831, 262144, F8, 6) (dual of [262144, 262113, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(84, 22, F8, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,8)), using
- construction X applied to Ce(9) ⊂ Ce(5) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(853, 262166, F8, 10) (dual of [262166, 262113, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(853, 262166, F8, 3, 10) (dual of [(262166, 3), 786445, 11]-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.