Information on Result #905319
Linear OOA(12874, 8322, F128, 2, 30) (dual of [(8322, 2), 16570, 31]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12815, 129, F128, 2, 15) (dual of [(129, 2), 243, 16]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;243,128) [i]
- linear OOA(12859, 8193, F128, 2, 30) (dual of [(8193, 2), 16327, 31]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12859, 16386, F128, 30) (dual of [16386, 16327, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(12859, 16384, F128, 30) (dual of [16384, 16325, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(12857, 16384, F128, 29) (dual of [16384, 16327, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(29) ⊂ Ce(28) [i] based on
- OOA 2-folding [i] based on linear OA(12859, 16386, F128, 30) (dual of [16386, 16327, 31]-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(12874, 4161, F128, 4, 30) (dual of [(4161, 4), 16570, 31]-NRT-code) | [i] | OOA Folding | |