Information on Result #1017733
Linear OOA(6455, 2796346, F64, 3, 12) (dual of [(2796346, 3), 8388983, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6410, 145, F64, 3, 6) (dual of [(145, 3), 425, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(643, 65, F64, 3, 3) (dual of [(65, 3), 192, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;192,64) [i]
- 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(643, 65, F64, 3, 3) (dual of [(65, 3), 192, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- 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(6480, 5592692, F64, 3, 12) (dual of [(5592692, 3), 16777996, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6455, 1398172, F64, 15, 12) (dual of [(1398172, 15), 20972525, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |