Information on Result #1018610
Linear OOA(8153, 2796317, F81, 3, 12) (dual of [(2796317, 3), 8388898, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(818, 116, F81, 3, 6) (dual of [(116, 3), 340, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,341P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 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(8174, 5592518, F81, 3, 12) (dual of [(5592518, 3), 16777480, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8178, 5592634, F81, 3, 12) (dual of [(5592634, 3), 16777824, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(8153, 1398158, F81, 15, 12) (dual of [(1398158, 15), 20972317, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |