Information on Result #1728920
Digital (105, 130, 39121)-net over F8, using net defined by OOA based on linear OOA(8130, 39121, F8, 27, 25) (dual of [(39121, 27), 1056137, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8130, 156485, F8, 3, 25) (dual of [(156485, 3), 469325, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8130, 156487, F8, 3, 25) (dual of [(156487, 3), 469331, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8130, 156487, F8, 25) (dual of [156487, 156357, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8130, 262159, F8, 25) (dual of [262159, 262029, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8115, 262144, F8, 22) (dual of [262144, 262029, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(83, 15, F8, 2) (dual of [15, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(8130, 262159, F8, 25) (dual of [262159, 262029, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8130, 156487, F8, 25) (dual of [156487, 156357, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(8130, 156487, F8, 3, 25) (dual of [(156487, 3), 469331, 26]-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.