Information on Result #900786
Linear OOA(2763, 9891, F27, 2, 18) (dual of [(9891, 2), 19719, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2711, 48, F27, 2, 9) (dual of [(48, 2), 85, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,86P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- linear OOA(2752, 9843, F27, 2, 18) (dual of [(9843, 2), 19634, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2752, 19686, F27, 18) (dual of [19686, 19634, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(2752, 19683, F27, 18) (dual of [19683, 19631, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2749, 19683, F27, 17) (dual of [19683, 19634, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- OOA 2-folding [i] based on linear OA(2752, 19686, F27, 18) (dual of [19686, 19634, 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.