Information on Result #721172
Linear OA(9119, 840, F9, 34) (dual of [840, 721, 35]-code), using construction XX applied to C1 = C([70,102]), C2 = C([75,103]), C3 = C1 + C2 = C([75,102]), and C∩ = C1 ∩ C2 = C([70,103]) based on
- linear OA(9110, 820, F9, 33) (dual of [820, 710, 34]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {70,71,…,102}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(9102, 820, F9, 29) (dual of [820, 718, 30]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {75,76,…,103}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(9114, 820, F9, 34) (dual of [820, 706, 35]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {70,71,…,103}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(998, 820, F9, 28) (dual of [820, 722, 29]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {75,76,…,102}, and designed minimum distance d ≥ |I|+1 = 29 [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, 4, F9, 0) (dual of [4, 4, 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(9119, 420, F9, 2, 34) (dual of [(420, 2), 721, 35]-NRT-code) | [i] | OOA Folding | |