Information on Result #710730
Linear OA(5119, 316, F5, 40) (dual of [316, 197, 41]-code), using construction XX applied to C1 = C([53,91]), C2 = C([52,90]), C3 = C1 + C2 = C([53,90]), and C∩ = C1 ∩ C2 = C([52,91]) based on
- linear OA(5117, 312, F5, 39) (dual of [312, 195, 40]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {53,54,…,91}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(5117, 312, F5, 39) (dual of [312, 195, 40]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {52,53,…,90}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(5119, 312, F5, 40) (dual of [312, 193, 41]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {52,53,…,91}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(5115, 312, F5, 38) (dual of [312, 197, 39]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {53,54,…,90}, and designed minimum distance d ≥ |I|+1 = 39 [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(5119, 158, F5, 2, 40) (dual of [(158, 2), 197, 41]-NRT-code) | [i] | OOA Folding | |