Information on Result #720903
Linear OA(9133, 751, F9, 48) (dual of [751, 618, 49]-code), using construction XX applied to C1 = C([46,91]), C2 = C([51,93]), C3 = C1 + C2 = C([51,91]), and C∩ = C1 ∩ C2 = C([46,93]) based on
- linear OA(9121, 728, F9, 46) (dual of [728, 607, 47]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {46,47,…,91}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(9115, 728, F9, 43) (dual of [728, 613, 44]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {51,52,…,93}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(9127, 728, F9, 48) (dual of [728, 601, 49]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {46,47,…,93}, and designed minimum distance d ≥ |I|+1 = 49 [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 = {51,52,…,91}, and designed minimum distance d ≥ |I|+1 = 42 [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(9133, 375, F9, 2, 48) (dual of [(375, 2), 617, 49]-NRT-code) | [i] | OOA Folding | |