Information on Result #1727076
Digital (45, 55, 131086)-net over F8, using net defined by OOA based on linear OOA(855, 131086, F8, 15, 10) (dual of [(131086, 15), 1966235, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(855, 262173, F8, 3, 10) (dual of [(262173, 3), 786464, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(855, 262174, F8, 3, 10) (dual of [(262174, 3), 786467, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(855, 262174, F8, 10) (dual of [262174, 262119, 11]-code), using
- construction X applied to Ce(9) ⊂ 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(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(86, 30, F8, 4) (dual of [30, 24, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- construction X applied to Ce(9) ⊂ Ce(4) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(855, 262174, F8, 10) (dual of [262174, 262119, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(855, 262174, F8, 3, 10) (dual of [(262174, 3), 786467, 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.