Information on Result #896593
Linear OOA(890, 16414, F8, 2, 18) (dual of [(16414, 2), 32738, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(814, 28, F8, 2, 9) (dual of [(28, 2), 42, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,46P) [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
- linear OOA(876, 16386, F8, 2, 18) (dual of [(16386, 2), 32696, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(876, 32772, F8, 18) (dual of [32772, 32696, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(876, 32773, F8, 18) (dual of [32773, 32697, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(876, 32768, F8, 18) (dual of [32768, 32692, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(871, 32768, F8, 17) (dual of [32768, 32697, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(876, 32773, F8, 18) (dual of [32773, 32697, 19]-code), using
- OOA 2-folding [i] based on linear OA(876, 32772, F8, 18) (dual of [32772, 32696, 19]-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.