Information on Result #710629
Linear OA(589, 318, F5, 30) (dual of [318, 229, 31]-code), using construction XX applied to C1 = C([63,91]), C2 = C([62,90]), C3 = C1 + C2 = C([63,90]), and C∩ = C1 ∩ C2 = C([62,91]) based on
- linear OA(585, 312, F5, 29) (dual of [312, 227, 30]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,91}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(587, 312, F5, 29) (dual of [312, 225, 30]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {62,63,…,90}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(589, 312, F5, 30) (dual of [312, 223, 31]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {62,63,…,91}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(583, 312, F5, 28) (dual of [312, 229, 29]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,90}, and designed minimum distance d ≥ |I|+1 = 29 [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, 4, F5, 0) (dual of [4, 4, 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 (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(589, 159, F5, 2, 30) (dual of [(159, 2), 229, 31]-NRT-code) | [i] | OOA Folding | |