Information on Result #1193972
Digital (105, 121, 1048577)-net over F9, using net defined by OOA based on linear OOA(9121, 1048577, F9, 18, 16) (dual of [(1048577, 18), 18874265, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(9121, 4194309, F9, 2, 16) (dual of [(4194309, 2), 8388497, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9121, 4194311, F9, 2, 16) (dual of [(4194311, 2), 8388501, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(98, 10, F9, 2, 8) (dual of [(10, 2), 12, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;12,9) [i]
- linear OOA(9113, 4194301, F9, 2, 16) (dual of [(4194301, 2), 8388489, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9113, 8388602, F9, 16) (dual of [8388602, 8388489, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(9113, large, F9, 16) (dual of [large, large−113, 17]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(9113, large, F9, 16) (dual of [large, large−113, 17]-code), using
- OOA 2-folding [i] based on linear OA(9113, 8388602, F9, 16) (dual of [8388602, 8388489, 17]-code), using
- linear OOA(98, 10, F9, 2, 8) (dual of [(10, 2), 12, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(9121, 4194311, F9, 2, 16) (dual of [(4194311, 2), 8388501, 17]-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.