Information on Result #1229496
Digital (124, 135, 4478640)-net over F5, using generalized (u, u+v)-construction based on
- digital (11, 14, 1123200)-net over F5, using
- net defined by OOA [i] based on linear OOA(514, 1123200, F5, 3, 3) (dual of [(1123200, 3), 3369586, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(514, 1123200, F5, 2, 3) (dual of [(1123200, 2), 2246386, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(514, 1123200, F5, 3, 3) (dual of [(1123200, 3), 3369586, 4]-NRT-code), using
- digital (35, 40, 1677720)-net over F5, using
- s-reduction based on digital (35, 40, 4194301)-net over F5, using
- net defined by OOA [i] based on linear OOA(540, 4194301, F5, 5, 5) (dual of [(4194301, 5), 20971465, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(540, large, F5, 5) (dual of [large, large−40, 6]-code), using
- the primitive narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(540, large, F5, 5) (dual of [large, large−40, 6]-code), using
- net defined by OOA [i] based on linear OOA(540, 4194301, F5, 5, 5) (dual of [(4194301, 5), 20971465, 6]-NRT-code), using
- s-reduction based on digital (35, 40, 4194301)-net over F5, using
- digital (70, 81, 1677720)-net over F5, using
- net defined by OOA [i] based on linear OOA(581, 1677720, F5, 11, 11) (dual of [(1677720, 11), 18454839, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(581, 8388601, F5, 11) (dual of [8388601, 8388520, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(581, large, F5, 11) (dual of [large, large−81, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 520−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(581, large, F5, 11) (dual of [large, large−81, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(581, 8388601, F5, 11) (dual of [8388601, 8388520, 12]-code), using
- net defined by OOA [i] based on linear OOA(581, 1677720, F5, 11, 11) (dual of [(1677720, 11), 18454839, 12]-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.