Information on Result #1117488
Linear OOA(390, 3945, F3, 5, 14) (dual of [(3945, 5), 19635, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(38, 7, F3, 5, 7) (dual of [(7, 5), 27, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,27P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(382, 3938, F3, 5, 14) (dual of [(3938, 5), 19608, 15]-NRT-code), using
- OOA 5-folding [i] based on linear OA(382, 19690, F3, 14) (dual of [19690, 19608, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(382, 19692, F3, 14) (dual of [19692, 19610, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(382, 19683, F3, 14) (dual of [19683, 19601, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(373, 19683, F3, 13) (dual of [19683, 19610, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(382, 19692, F3, 14) (dual of [19692, 19610, 15]-code), using
- OOA 5-folding [i] based on linear OA(382, 19690, F3, 14) (dual of [19690, 19608, 15]-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.