Information on Result #720871
Linear OA(9150, 778, F9, 50) (dual of [778, 628, 51]-code), using construction XX applied to C1 = C([57,100]), C2 = C([51,92]), C3 = C1 + C2 = C([57,92]), and C∩ = C1 ∩ C2 = C([51,100]) based on
- linear OA(9118, 728, F9, 44) (dual of [728, 610, 45]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {57,58,…,100}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(9112, 728, F9, 42) (dual of [728, 616, 43]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {51,52,…,92}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(9133, 728, F9, 50) (dual of [728, 595, 51]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {51,52,…,100}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(997, 728, F9, 36) (dual of [728, 631, 37]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {57,58,…,92}, and designed minimum distance d ≥ |I|+1 = 37 [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(97, 22, F9, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), 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(9150, 389, F9, 2, 50) (dual of [(389, 2), 628, 51]-NRT-code) | [i] | OOA Folding | |