Information on Result #1842659
(129, 144, 2403305)-net in base 9, using (u, u+v)-construction based on
- (23, 30, 6563)-net in base 9, using
- base change [i] based on digital (13, 20, 6563)-net over F27, using
- net defined by OOA [i] based on linear OOA(2720, 6563, F27, 7, 7) (dual of [(6563, 7), 45921, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(2720, 19690, F27, 7) (dual of [19690, 19670, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2720, 19691, F27, 7) (dual of [19691, 19671, 8]-code), using
- construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
- linear OA(2719, 19684, F27, 7) (dual of [19684, 19665, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(2713, 19684, F27, 5) (dual of [19684, 19671, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(271, 7, F27, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2720, 19691, F27, 7) (dual of [19691, 19671, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(2720, 19690, F27, 7) (dual of [19690, 19670, 8]-code), using
- net defined by OOA [i] based on linear OOA(2720, 6563, F27, 7, 7) (dual of [(6563, 7), 45921, 8]-NRT-code), using
- base change [i] based on digital (13, 20, 6563)-net over F27, using
- digital (99, 114, 2396742)-net over F9, using
- trace code for nets [i] based on digital (42, 57, 1198371)-net over F81, using
- net defined by OOA [i] based on linear OOA(8157, 1198371, F81, 15, 15) (dual of [(1198371, 15), 17975508, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(8157, 8388598, F81, 15) (dual of [8388598, 8388541, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, 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(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(8157, 8388598, F81, 15) (dual of [8388598, 8388541, 16]-code), using
- net defined by OOA [i] based on linear OOA(8157, 1198371, F81, 15, 15) (dual of [(1198371, 15), 17975508, 16]-NRT-code), using
- trace code for nets [i] based on digital (42, 57, 1198371)-net over F81, 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.