Information on Result #1188352
Digital (59, 67, 2097163)-net over F5, using net defined by OOA based on linear OOA(567, 2097163, F5, 10, 8) (dual of [(2097163, 10), 20971563, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(567, 4194327, F5, 2, 8) (dual of [(4194327, 2), 8388587, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(567, 4194328, F5, 2, 8) (dual of [(4194328, 2), 8388589, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(56, 27, F5, 2, 4) (dual of [(27, 2), 48, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 6, 27)-net over F5, using
- linear OOA(561, 4194301, F5, 2, 8) (dual of [(4194301, 2), 8388541, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(561, 8388602, F5, 8) (dual of [8388602, 8388541, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(561, large, F5, 8) (dual of [large, large−61, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(561, large, F5, 8) (dual of [large, large−61, 9]-code), using
- OOA 2-folding [i] based on linear OA(561, 8388602, F5, 8) (dual of [8388602, 8388541, 9]-code), using
- linear OOA(56, 27, F5, 2, 4) (dual of [(27, 2), 48, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(567, 4194328, F5, 2, 8) (dual of [(4194328, 2), 8388589, 9]-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.