Information on Result #718687
Linear OA(9126, 382, F9, 51) (dual of [382, 256, 52]-code), using construction XX applied to C1 = C([360,45]), C2 = C([1,46]), C3 = C1 + C2 = C([1,45]), and C∩ = C1 ∩ C2 = C([360,46]) based on
- linear OA(9118, 364, F9, 50) (dual of [364, 246, 51]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {−4,−3,…,45}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(9111, 364, F9, 46) (dual of [364, 253, 47]-code), using the narrow-sense BCH-code C(I) with length 364 | 93−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(9121, 364, F9, 51) (dual of [364, 243, 52]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {−4,−3,…,46}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(9108, 364, F9, 45) (dual of [364, 256, 46]-code), using the narrow-sense BCH-code C(I) with length 364 | 93−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(95, 15, F9, 4) (dual of [15, 10, 5]-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OA(95, 16, F9, 4) (dual of [16, 11, 5]-code), 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(9126, 191, F9, 2, 51) (dual of [(191, 2), 256, 52]-NRT-code) | [i] | OOA Folding | |