Information on Result #719815
Linear OA(999, 772, F9, 32) (dual of [772, 673, 33]-code), using construction XX applied to C1 = C([73,100]), C2 = C([69,92]), C3 = C1 + C2 = C([73,92]), and C∩ = C1 ∩ C2 = C([69,100]) based on
- linear OA(973, 728, F9, 28) (dual of [728, 655, 29]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {73,74,…,100}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(964, 728, F9, 24) (dual of [728, 664, 25]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {69,70,…,92}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(985, 728, F9, 32) (dual of [728, 643, 33]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {69,70,…,100}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(952, 728, F9, 20) (dual of [728, 676, 21]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {73,74,…,92}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(910, 28, F9, 7) (dual of [28, 18, 8]-code), using
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, 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(999, 386, F9, 2, 32) (dual of [(386, 2), 673, 33]-NRT-code) | [i] | OOA Folding | |