Information on Result #1844020
(26, 34, 2129919)-net in base 128, using (u, u+v)-construction based on
- (4, 8, 32769)-net in base 128, using
- base change [i] based on digital (3, 7, 32769)-net over F256, using
- net defined by OOA [i] based on linear OOA(2567, 32769, F256, 4, 4) (dual of [(32769, 4), 131069, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(2567, 65538, F256, 4) (dual of [65538, 65531, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(2567, 65536, F256, 4) (dual of [65536, 65529, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(2565, 65536, F256, 3) (dual of [65536, 65531, 4]-code or 65536-cap in PG(4,256)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- OA 2-folding and stacking [i] based on linear OA(2567, 65538, F256, 4) (dual of [65538, 65531, 5]-code), using
- net defined by OOA [i] based on linear OOA(2567, 32769, F256, 4, 4) (dual of [(32769, 4), 131069, 5]-NRT-code), using
- base change [i] based on digital (3, 7, 32769)-net over F256, using
- (18, 26, 2097150)-net in base 128, using
- net defined by OOA [i] based on OOA(12826, 2097150, S128, 8, 8), using
- OA 4-folding and stacking [i] based on OA(12826, 8388600, S128, 8), using
- discarding factors based on OA(12826, large, S128, 8), using
- discarding parts of the base [i] based on linear OA(25622, large, F256, 8) (dual of [large, large−22, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding parts of the base [i] based on linear OA(25622, large, F256, 8) (dual of [large, large−22, 9]-code), using
- discarding factors based on OA(12826, large, S128, 8), using
- OA 4-folding and stacking [i] based on OA(12826, 8388600, S128, 8), using
- net defined by OOA [i] based on OOA(12826, 2097150, S128, 8, 8), using
Mode: Constructive.
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.