Information on Result #1188820
Digital (87, 100, 325535)-net over F5, using net defined by OOA based on linear OOA(5100, 325535, F5, 15, 13) (dual of [(325535, 15), 4882925, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(5100, 651071, F5, 3, 13) (dual of [(651071, 3), 1953113, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(59, 27, F5, 3, 6) (dual of [(27, 3), 72, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 9, 27)-net over F5, using
- linear OOA(591, 651044, F5, 3, 13) (dual of [(651044, 3), 1953041, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(591, 1953132, F5, 13) (dual of [1953132, 1953041, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(591, 1953134, F5, 13) (dual of [1953134, 1953043, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(591, 1953125, F5, 13) (dual of [1953125, 1953034, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(582, 1953125, F5, 12) (dual of [1953125, 1953043, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(50, 9, F5, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(591, 1953134, F5, 13) (dual of [1953134, 1953043, 14]-code), using
- OOA 3-folding [i] based on linear OA(591, 1953132, F5, 13) (dual of [1953132, 1953041, 14]-code), using
- linear OOA(59, 27, F5, 3, 6) (dual of [(27, 3), 72, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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.