Information on Result #1014415
Linear OOA(889, 2796218, F8, 3, 12) (dual of [(2796218, 3), 8388565, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(88, 17, F8, 3, 6) (dual of [(17, 3), 43, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,44P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- linear OOA(881, 2796201, F8, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(881, large, F8, 12) (dual of [large, large−81, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(881, large, F8, 12) (dual of [large, large−81, 13]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(8131, 5592436, F8, 3, 12) (dual of [(5592436, 3), 16777177, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(889, 1398108, F8, 15, 12) (dual of [(1398108, 15), 20971531, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |