Information on Result #718898
Linear OA(934, 749, F9, 11) (dual of [749, 715, 12]-code), using construction XX applied to C1 = C([82,90]), C2 = C([87,92]), C3 = C1 + C2 = C([87,90]), and C∩ = C1 ∩ C2 = C([82,92]) based on
- linear OA(924, 728, F9, 9) (dual of [728, 704, 10]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {82,83,…,90}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(916, 728, F9, 6) (dual of [728, 712, 7]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {87,88,…,92}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(928, 728, F9, 11) (dual of [728, 700, 12]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {82,83,…,92}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(912, 728, F9, 4) (dual of [728, 716, 5]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {87,88,89,90}, and designed minimum distance d ≥ |I|+1 = 5 [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, 5, F9, 1) (dual of [5, 4, 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(934, 374, F9, 2, 11) (dual of [(374, 2), 714, 12]-NRT-code) | [i] | OOA Folding | |