Information on Result #720753
Linear OA(9136, 764, F9, 47) (dual of [764, 628, 48]-code), using construction XX applied to C1 = C([57,100]), C2 = C([54,92]), C3 = C1 + C2 = C([57,92]), and C∩ = C1 ∩ C2 = C([54,100]) 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(9103, 728, F9, 39) (dual of [728, 625, 40]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {54,55,…,92}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(9124, 728, F9, 47) (dual of [728, 604, 48]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {54,55,…,100}, and designed minimum distance d ≥ |I|+1 = 48 [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(92, 8, F9, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,9)), using
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), 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(9136, 382, F9, 2, 47) (dual of [(382, 2), 628, 48]-NRT-code) | [i] | OOA Folding | |