Information on Result #1019267
Linear OOA(12846, 699309, F128, 3, 13) (dual of [(699309, 3), 2097881, 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(12837, 699051, F128, 3, 13) (dual of [(699051, 3), 2097116, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12837, 2097153, F128, 13) (dual of [2097153, 2097116, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(12837, 2097153, F128, 13) (dual of [2097153, 2097116, 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(12846, 349654, F128, 15, 13) (dual of [(349654, 15), 5244764, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |