Information on Result #720022
Linear OA(991, 751, F9, 32) (dual of [751, 660, 33]-code), using construction XX applied to C1 = C([62,91]), C2 = C([67,93]), C3 = C1 + C2 = C([67,91]), and C∩ = C1 ∩ C2 = C([62,93]) based on
- linear OA(979, 728, F9, 30) (dual of [728, 649, 31]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {62,63,…,91}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(973, 728, F9, 27) (dual of [728, 655, 28]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {67,68,…,93}, and designed minimum distance d ≥ |I|+1 = 28 [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 = {62,63,…,93}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(967, 728, F9, 25) (dual of [728, 661, 26]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {67,68,…,91}, and designed minimum distance d ≥ |I|+1 = 26 [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(91, 7, F9, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-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(991, 250, F9, 3, 32) (dual of [(250, 3), 659, 33]-NRT-code) | [i] | OOA Folding | |