Information on Result #1081272
Linear OOA(3240, 4194323, F3, 4, 16) (dual of [(4194323, 4), 16777052, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(314, 22, F3, 4, 8) (dual of [(22, 4), 74, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 14, 22)-net over F3, using
- linear OOA(3226, 4194301, F3, 4, 16) (dual of [(4194301, 4), 16776978, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3226, 8388602, F3, 2, 16) (dual of [(8388602, 2), 16776978, 17]-NRT-code), using
- trace code [i] based on 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
- trace code [i] based on linear OOA(9113, 4194301, F9, 2, 16) (dual of [(4194301, 2), 8388489, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3226, 8388602, F3, 2, 16) (dual of [(8388602, 2), 16776978, 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.
Other Results with Identical Parameters
None.
Depending Results
None.