Information on Result #905223
Linear OOA(12869, 8493, F128, 2, 25) (dual of [(8493, 2), 16917, 26]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12820, 300, F128, 2, 12) (dual of [(300, 2), 580, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1287, 150, F128, 2, 6) (dual of [(150, 2), 293, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,293P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12813, 150, F128, 2, 12) (dual of [(150, 2), 287, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,287P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (see above)
- linear OOA(1287, 150, F128, 2, 6) (dual of [(150, 2), 293, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12849, 8193, F128, 2, 25) (dual of [(8193, 2), 16337, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12849, 16386, F128, 25) (dual of [16386, 16337, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(12849, 16384, F128, 25) (dual of [16384, 16335, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(12847, 16384, F128, 24) (dual of [16384, 16337, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(24) ⊂ Ce(23) [i] based on
- OOA 2-folding [i] based on linear OA(12849, 16386, F128, 25) (dual of [16386, 16337, 26]-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(12869, 4246, F128, 4, 25) (dual of [(4246, 4), 16915, 26]-NRT-code) | [i] | OOA Folding | |