Information on Result #1188734
Digital (131, 143, 2796350)-net over F5, using net defined by OOA based on linear OOA(5143, 2796350, F5, 15, 12) (dual of [(2796350, 15), 41945107, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(5143, 5592701, F5, 3, 12) (dual of [(5592701, 3), 16777960, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5143, 5592702, F5, 3, 12) (dual of [(5592702, 3), 16777963, 13]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(511, 300, F5, 3, 4) (dual of [(300, 3), 889, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(511, 600, F5, 4) (dual of [600, 589, 5]-code), using
- base reduction for projective spaces (embedding PG(5,25) in PG(10,5)) [i] based on linear OA(256, 600, F25, 4) (dual of [600, 594, 5]-code), using
- 1 times truncation [i] based on linear OA(257, 601, F25, 5) (dual of [601, 594, 6]-code), using
- base reduction for projective spaces (embedding PG(5,25) in PG(10,5)) [i] based on linear OA(256, 600, F25, 4) (dual of [600, 594, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(511, 600, F5, 4) (dual of [600, 589, 5]-code), using
- linear OOA(541, 2796201, F5, 3, 6) (dual of [(2796201, 3), 8388562, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
- linear OOA(591, 2796201, F5, 3, 12) (dual of [(2796201, 3), 8388512, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(591, large, F5, 12) (dual of [large, large−91, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(591, large, F5, 12) (dual of [large, large−91, 13]-code), using
- linear OOA(511, 300, F5, 3, 4) (dual of [(300, 3), 889, 5]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(5143, 5592702, F5, 3, 12) (dual of [(5592702, 3), 16777963, 13]-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.