Information on Result #729502
Linear OA(4945, 154, F49, 27) (dual of [154, 109, 28]-code), using construction XX applied to C1 = C([13,38]), C2 = C([12,37]), C3 = C1 + C2 = C([13,37]), and C∩ = C1 ∩ C2 = C([12,38]) based on
- linear OA(4943, 150, F49, 26) (dual of [150, 107, 27]-code), using the BCH-code C(I) with length 150 | 492−1, defining interval I = {13,14,…,38}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(4943, 150, F49, 26) (dual of [150, 107, 27]-code), using the BCH-code C(I) with length 150 | 492−1, defining interval I = {12,13,…,37}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(4945, 150, F49, 27) (dual of [150, 105, 28]-code), using the BCH-code C(I) with length 150 | 492−1, defining interval I = {12,13,…,38}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(4941, 150, F49, 25) (dual of [150, 109, 26]-code), using the BCH-code C(I) with length 150 | 492−1, defining interval I = {13,14,…,37}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
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(4945, 77, F49, 2, 27) (dual of [(77, 2), 109, 28]-NRT-code) | [i] | OOA Folding | |