Information on Result #720360
Linear OA(9123, 772, F9, 41) (dual of [772, 649, 42]-code), using construction XX applied to C1 = C([64,100]), C2 = C([60,92]), C3 = C1 + C2 = C([64,92]), and C∩ = C1 ∩ C2 = C([60,100]) based on
- linear OA(997, 728, F9, 37) (dual of [728, 631, 38]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,100}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(988, 728, F9, 33) (dual of [728, 640, 34]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {60,61,…,92}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(9109, 728, F9, 41) (dual of [728, 619, 42]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {60,61,…,100}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(976, 728, F9, 29) (dual of [728, 652, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,92}, and designed minimum distance d ≥ |I|+1 = 30 [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(9123, 386, F9, 2, 41) (dual of [(386, 2), 649, 42]-NRT-code) | [i] | OOA Folding | |