Information on Result #1019262
Linear OOA(12834, 5720, F128, 3, 13) (dual of [(5720, 3), 17126, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1289, 258, F128, 3, 6) (dual of [(258, 3), 765, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1283, 129, F128, 3, 3) (dual of [(129, 3), 384, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;384,128) [i]
- linear OOA(1286, 129, F128, 3, 6) (dual of [(129, 3), 381, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;381,128) [i]
- linear OOA(1283, 129, F128, 3, 3) (dual of [(129, 3), 384, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12825, 5462, F128, 3, 13) (dual of [(5462, 3), 16361, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12825, 16386, F128, 13) (dual of [16386, 16361, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- 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(12823, 16384, F128, 12) (dual of [16384, 16361, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(12) ⊂ Ce(11) [i] based on
- OOA 3-folding [i] based on linear OA(12825, 16386, F128, 13) (dual of [16386, 16361, 14]-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(12834, 2859, F128, 15, 13) (dual of [(2859, 15), 42851, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |