Information on Result #905065
Linear OOA(12850, 8493, F128, 2, 18) (dual of [(8493, 2), 16936, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12815, 300, F128, 2, 9) (dual of [(300, 2), 585, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1285, 150, F128, 2, 4) (dual of [(150, 2), 295, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,295P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12810, 150, F128, 2, 9) (dual of [(150, 2), 290, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,290P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (see above)
- linear OOA(1285, 150, F128, 2, 4) (dual of [(150, 2), 295, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12835, 8193, F128, 2, 18) (dual of [(8193, 2), 16351, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12835, 16386, F128, 18) (dual of [16386, 16351, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(12835, 16384, F128, 18) (dual of [16384, 16349, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(12833, 16384, F128, 17) (dual of [16384, 16351, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 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(12835, 16386, F128, 18) (dual of [16386, 16351, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(12850, 4246, F128, 4, 18) (dual of [(4246, 4), 16934, 19]-NRT-code) | [i] | OOA Folding | |