Information on Result #710615
Linear OA(581, 316, F5, 27) (dual of [316, 235, 28]-code), using construction XX applied to C1 = C([66,91]), C2 = C([65,90]), C3 = C1 + C2 = C([66,90]), and C∩ = C1 ∩ C2 = C([65,91]) based on
- linear OA(579, 312, F5, 26) (dual of [312, 233, 27]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {66,67,…,91}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(579, 312, F5, 26) (dual of [312, 233, 27]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {65,66,…,90}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(581, 312, F5, 27) (dual of [312, 231, 28]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {65,66,…,91}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(577, 312, F5, 25) (dual of [312, 235, 26]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {66,67,…,90}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(50, 2, F5, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(50, 2, F5, 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(581, 158, F5, 2, 27) (dual of [(158, 2), 235, 28]-NRT-code) | [i] | OOA Folding | |