Information on Result #1019450
Linear OOA(12869, 699330, F128, 3, 19) (dual of [(699330, 3), 2097921, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12814, 279, F128, 3, 9) (dual of [(279, 3), 823, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1284, 129, F128, 3, 4) (dual of [(129, 3), 383, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;383,128) [i]
- linear OOA(12810, 150, F128, 3, 9) (dual of [(150, 3), 440, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,440P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(1284, 129, F128, 3, 4) (dual of [(129, 3), 383, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12855, 699051, F128, 3, 19) (dual of [(699051, 3), 2097098, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12855, 2097153, F128, 19) (dual of [2097153, 2097098, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(12855, 2097153, F128, 19) (dual of [2097153, 2097098, 20]-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, 233109, F128, 21, 19) (dual of [(233109, 21), 4895220, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |