Information on Result #719101
Linear OA(949, 760, F9, 15) (dual of [760, 711, 16]-code), using construction XX applied to C1 = C([81,91]), C2 = C([86,95]), C3 = C1 + C2 = C([86,91]), and C∩ = C1 ∩ C2 = C([81,95]) based on
- linear OA(928, 728, F9, 11) (dual of [728, 700, 12]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {81,82,…,91}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(928, 728, F9, 10) (dual of [728, 700, 11]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {86,87,…,95}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(940, 728, F9, 15) (dual of [728, 688, 16]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {81,82,…,95}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(916, 728, F9, 6) (dual of [728, 712, 7]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {86,87,…,91}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(95, 16, F9, 4) (dual of [16, 11, 5]-code), using
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- linear OA(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,9)), 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(949, 380, F9, 2, 15) (dual of [(380, 2), 711, 16]-NRT-code) | [i] | OOA Folding | |