Information on Result #1188436
Digital (71, 80, 2097218)-net over F5, using net defined by OOA based on linear OOA(580, 2097218, F5, 10, 9) (dual of [(2097218, 10), 20972100, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(580, 4194437, F5, 2, 9) (dual of [(4194437, 2), 8388794, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(580, 4194438, F5, 2, 9) (dual of [(4194438, 2), 8388796, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(59, 137, F5, 2, 4) (dual of [(137, 2), 265, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 9, 137)-net over F5, using
- linear OOA(571, 4194301, F5, 2, 9) (dual of [(4194301, 2), 8388531, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(571, 8388602, F5, 9) (dual of [8388602, 8388531, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(571, large, F5, 9) (dual of [large, large−71, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(571, large, F5, 9) (dual of [large, large−71, 10]-code), using
- OOA 2-folding [i] based on linear OA(571, 8388602, F5, 9) (dual of [8388602, 8388531, 10]-code), using
- linear OOA(59, 137, F5, 2, 4) (dual of [(137, 2), 265, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(580, 4194438, F5, 2, 9) (dual of [(4194438, 2), 8388796, 10]-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.