Information on Result #909160
Linear OOA(3249, 127, F3, 2, 168) (dual of [(127, 2), 5, 169]-NRT-code), using juxtaposition based on
- linear OOA(37, 6, F3, 2, 6) (dual of [(6, 2), 5, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(37, 7, F3, 2, 6) (dual of [(7, 2), 7, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,7P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- discarding factors / shortening the dual code based on linear OOA(37, 7, F3, 2, 6) (dual of [(7, 2), 7, 7]-NRT-code), using
- linear OOA(3237, 121, F3, 2, 161) (dual of [(121, 2), 5, 162]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3237, 242, F3, 161) (dual of [242, 5, 162]-code), using
- repeating each code word 2 times [i] based on linear OA(3116, 121, F3, 80) (dual of [121, 5, 81]-code), using
- Simplex code S(5,3) [i]
- the expurgated narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [0,75], and minimum distance d ≥ |{5,15,25,…,−52}|+1 = 81 (BCH-bound) [i]
- repeating each code word 2 times [i] based on linear OA(3116, 121, F3, 80) (dual of [121, 5, 81]-code), using
- OOA 2-folding [i] based on linear OA(3237, 242, F3, 161) (dual of [242, 5, 162]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.