Information on Result #718903
Linear OA(933, 747, F9, 11) (dual of [747, 714, 12]-code), using construction XX applied to C1 = C([82,91]), C2 = C([87,92]), C3 = C1 + C2 = C([87,91]), and C∩ = C1 ∩ C2 = C([82,92]) based on
- linear OA(925, 728, F9, 10) (dual of [728, 703, 11]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {82,83,…,91}, and designed minimum distance d ≥ |I|+1 = 11 [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(913, 728, F9, 5) (dual of [728, 715, 6]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {87,88,89,90,91}, and designed minimum distance d ≥ |I|+1 = 6 [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(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(933, 249, F9, 3, 11) (dual of [(249, 3), 714, 12]-NRT-code) | [i] | OOA Folding | |