Information on Result #1188842
Digital (105, 118, 1398204)-net over F5, using net defined by OOA based on linear OOA(5118, 1398204, F5, 14, 13) (dual of [(1398204, 14), 19574738, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(5118, 4194613, F5, 2, 13) (dual of [(4194613, 2), 8389108, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(517, 312, F5, 2, 6) (dual of [(312, 2), 607, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(517, 624, F5, 6) (dual of [624, 607, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 2-folding [i] based on linear OA(517, 624, F5, 6) (dual of [624, 607, 7]-code), using
- linear OOA(5101, 4194301, F5, 2, 13) (dual of [(4194301, 2), 8388501, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5101, 8388602, F5, 13) (dual of [8388602, 8388501, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(5101, large, F5, 13) (dual of [large, large−101, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 520−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(5101, large, F5, 13) (dual of [large, large−101, 14]-code), using
- OOA 2-folding [i] based on linear OA(5101, 8388602, F5, 13) (dual of [8388602, 8388501, 14]-code), using
- linear OOA(517, 312, F5, 2, 6) (dual of [(312, 2), 607, 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.