Information on Result #1221292
Digital (85, 100, 1329206)-net over F25, using (u, u+v)-construction based on
- digital (22, 29, 130835)-net over F25, using
- (u, u+v)-construction [i] based on
- digital (1, 4, 626)-net over F25, using
- net defined by OOA [i] based on linear OOA(254, 626, F25, 3, 3) (dual of [(626, 3), 1874, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(254, 626, F25, 2, 3) (dual of [(626, 2), 1248, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(254, 626, F25, 3, 3) (dual of [(626, 3), 1874, 4]-NRT-code), using
- digital (18, 25, 130209)-net over F25, using
- net defined by OOA [i] based on linear OOA(2525, 130209, F25, 7, 7) (dual of [(130209, 7), 911438, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(2525, 390628, F25, 7) (dual of [390628, 390603, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2525, 390629, F25, 7) (dual of [390629, 390604, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(2525, 390625, F25, 7) (dual of [390625, 390600, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(2521, 390625, F25, 6) (dual of [390625, 390604, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(2525, 390629, F25, 7) (dual of [390629, 390604, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(2525, 390628, F25, 7) (dual of [390628, 390603, 8]-code), using
- net defined by OOA [i] based on linear OOA(2525, 130209, F25, 7, 7) (dual of [(130209, 7), 911438, 8]-NRT-code), using
- digital (1, 4, 626)-net over F25, using
- (u, u+v)-construction [i] based on
- digital (56, 71, 1198371)-net over F25, using
- net defined by OOA [i] based on linear OOA(2571, 1198371, F25, 15, 15) (dual of [(1198371, 15), 17975494, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(2571, 8388598, F25, 15) (dual of [8388598, 8388527, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2571, large, F25, 15) (dual of [large, large−71, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2571, large, F25, 15) (dual of [large, large−71, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(2571, 8388598, F25, 15) (dual of [8388598, 8388527, 16]-code), using
- net defined by OOA [i] based on linear OOA(2571, 1198371, F25, 15, 15) (dual of [(1198371, 15), 17975494, 16]-NRT-code), using
Mode: Constructive and 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.