Information on Result #1013537
Linear OOA(5142, 1063, F5, 3, 30) (dual of [(1063, 3), 3047, 31]-NRT-code), using (u, u+v)-construction based on
- linear OOA(522, 22, F5, 3, 15) (dual of [(22, 3), 44, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,50P) [i] based on function field F/F5 with g(F) = 7 and N(F) ≥ 22, using
- linear OOA(5120, 1041, F5, 3, 30) (dual of [(1041, 3), 3003, 31]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5120, 3123, F5, 30) (dual of [3123, 3003, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(5120, 3125, F5, 30) (dual of [3125, 3005, 31]-code), using
- 1 times truncation [i] based on linear OA(5121, 3126, F5, 31) (dual of [3126, 3005, 32]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(5121, 3126, F5, 31) (dual of [3126, 3005, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(5120, 3125, F5, 30) (dual of [3125, 3005, 31]-code), using
- OOA 3-folding [i] based on linear OA(5120, 3123, F5, 30) (dual of [3123, 3003, 31]-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.