Information on Result #720414
Linear OA(9108, 747, F9, 39) (dual of [747, 639, 40]-code), using construction XX applied to C1 = C([54,91]), C2 = C([59,92]), C3 = C1 + C2 = C([59,91]), and C∩ = C1 ∩ C2 = C([54,92]) based on
- linear OA(9100, 728, F9, 38) (dual of [728, 628, 39]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {54,55,…,91}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(991, 728, F9, 34) (dual of [728, 637, 35]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {59,60,…,92}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(9103, 728, F9, 39) (dual of [728, 625, 40]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {54,55,…,92}, and designed minimum distance d ≥ |I|+1 = 40 [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 = {59,60,…,91}, and designed minimum distance d ≥ |I|+1 = 34 [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(9108, 249, F9, 3, 39) (dual of [(249, 3), 639, 40]-NRT-code) | [i] | OOA Folding | |