Information on Result #1727074
Digital (44, 54, 131083)-net over F8, using net defined by OOA based on linear OOA(854, 131083, F8, 15, 10) (dual of [(131083, 15), 1966191, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(854, 262167, F8, 3, 10) (dual of [(262167, 3), 786447, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(854, 262168, F8, 3, 10) (dual of [(262168, 3), 786450, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(854, 262168, F8, 10) (dual of [262168, 262114, 11]-code), using
- construction XX applied to Ce(9) ⊂ Ce(5) ⊂ Ce(4) [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(825, 262144, F8, 5) (dual of [262144, 262119, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(84, 23, F8, 3) (dual of [23, 19, 4]-code or 23-cap in PG(3,8)), using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(9) ⊂ Ce(5) ⊂ Ce(4) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(854, 262168, F8, 10) (dual of [262168, 262114, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(854, 262168, F8, 3, 10) (dual of [(262168, 3), 786450, 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.