Information on Result #1017731
Linear OOA(6452, 2796281, F64, 3, 12) (dual of [(2796281, 3), 8388791, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(647, 80, F64, 3, 6) (dual of [(80, 3), 233, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,233P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(6445, 2796201, F64, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(6445, large, F64, 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(6453, 2796281, F64, 3, 12) (dual of [(2796281, 3), 8388790, 13]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(6473, 5592482, F64, 3, 12) (dual of [(5592482, 3), 16777373, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(6476, 5592547, F64, 3, 12) (dual of [(5592547, 3), 16777565, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(6477, 5592562, F64, 3, 12) (dual of [(5592562, 3), 16777609, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(6452, 1398140, F64, 15, 12) (dual of [(1398140, 15), 20972048, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |