Information on Result #1202942
Digital (55, 78, 48320)-net over F81, using net defined by OOA based on linear OOA(8178, 48320, F81, 23, 23) (dual of [(48320, 23), 1111282, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(8178, 531521, F81, 23) (dual of [531521, 531443, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(8178, 531524, F81, 23) (dual of [531524, 531446, 24]-code), using
- (u, u+v)-construction [i] based on
- linear OA(8111, 82, F81, 11) (dual of [82, 71, 12]-code or 82-arc in PG(10,81)), using
- extended Reed–Solomon code RSe(71,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(8167, 531442, F81, 23) (dual of [531442, 531375, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(8111, 82, F81, 11) (dual of [82, 71, 12]-code or 82-arc in PG(10,81)), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(8178, 531524, F81, 23) (dual of [531524, 531446, 24]-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.