Information on Result #1235287
Linear OOA(3223, 5592764, F3, 5, 13) (dual of [(5592764, 5), 27963597, 14]-NRT-code), using extracting embedded OOA based on digital (210, 223, 5592764)-net over F3, using
- (u, u+v)-construction [i] based on
- digital (21, 27, 364)-net over F3, using
- net defined by OOA [i] based on linear OOA(327, 364, F3, 6, 6) (dual of [(364, 6), 2157, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(327, 364, F3, 5, 6) (dual of [(364, 5), 1793, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(327, 1092, F3, 6) (dual of [1092, 1065, 7]-code), using
- appending kth column [i] based on linear OOA(327, 364, F3, 5, 6) (dual of [(364, 5), 1793, 7]-NRT-code), using
- net defined by OOA [i] based on linear OOA(327, 364, F3, 6, 6) (dual of [(364, 6), 2157, 7]-NRT-code), using
- digital (183, 196, 5592400)-net over F3, using
- trace code for nets [i] based on digital (85, 98, 2796200)-net over F9, using
- net defined by OOA [i] based on linear OOA(998, 2796200, F9, 14, 13) (dual of [(2796200, 14), 39146702, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(998, 8388601, F9, 2, 13) (dual of [(8388601, 2), 16777104, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(998, 8388602, F9, 2, 13) (dual of [(8388602, 2), 16777106, 14]-NRT-code), using
- trace code [i] based on linear OOA(8149, 4194301, F81, 2, 13) (dual of [(4194301, 2), 8388553, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8149, 8388602, F81, 13) (dual of [8388602, 8388553, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(8149, large, F81, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, 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(8149, large, F81, 13) (dual of [large, large−49, 14]-code), using
- OOA 2-folding [i] based on linear OA(8149, 8388602, F81, 13) (dual of [8388602, 8388553, 14]-code), using
- trace code [i] based on linear OOA(8149, 4194301, F81, 2, 13) (dual of [(4194301, 2), 8388553, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(998, 8388602, F9, 2, 13) (dual of [(8388602, 2), 16777106, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(998, 8388601, F9, 2, 13) (dual of [(8388601, 2), 16777104, 14]-NRT-code), using
- net defined by OOA [i] based on linear OOA(998, 2796200, F9, 14, 13) (dual of [(2796200, 14), 39146702, 14]-NRT-code), using
- trace code for nets [i] based on digital (85, 98, 2796200)-net over F9, using
- digital (21, 27, 364)-net over F3, 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.
Other Results with Identical Parameters
None.
Depending Results
None.