Information on Result #904941
Linear OOA(12838, 8472, F128, 2, 14) (dual of [(8472, 2), 16906, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12811, 279, F128, 2, 7) (dual of [(279, 2), 547, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1283, 129, F128, 2, 3) (dual of [(129, 2), 255, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;255,128) [i]
- linear OOA(1288, 150, F128, 2, 7) (dual of [(150, 2), 292, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,292P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(1283, 129, F128, 2, 3) (dual of [(129, 2), 255, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12827, 8193, F128, 2, 14) (dual of [(8193, 2), 16359, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12827, 16386, F128, 14) (dual of [16386, 16359, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(12825, 16384, F128, 13) (dual of [16384, 16359, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(13) ⊂ Ce(12) [i] based on
- OOA 2-folding [i] based on linear OA(12827, 16386, F128, 14) (dual of [16386, 16359, 15]-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(12838, 4236, F128, 4, 14) (dual of [(4236, 4), 16906, 15]-NRT-code) | [i] | OOA Folding | |