Information on Result #1016511
Linear OOA(9142, 19704, F9, 3, 29) (dual of [(19704, 3), 58970, 30]-NRT-code), using (u, u+v)-construction based on
- linear OOA(916, 20, F9, 3, 14) (dual of [(20, 3), 44, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,45P) [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- linear OOA(9126, 19684, F9, 3, 29) (dual of [(19684, 3), 58926, 30]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9126, 59052, F9, 29) (dual of [59052, 58926, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(9126, 59054, F9, 29) (dual of [59054, 58928, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(9126, 59049, F9, 29) (dual of [59049, 58923, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- discarding factors / shortening the dual code based on linear OA(9126, 59054, F9, 29) (dual of [59054, 58928, 30]-code), using
- OOA 3-folding [i] based on linear OA(9126, 59052, F9, 29) (dual of [59052, 58926, 30]-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.