Information on Result #710119
Linear OA(586, 142, F5, 40) (dual of [142, 56, 41]-code), using construction XX applied to C1 = C([31,68]), C2 = C([29,63]), C3 = C1 + C2 = C([31,63]), and C∩ = C1 ∩ C2 = C([29,68]) based on
- linear OA(574, 124, F5, 38) (dual of [124, 50, 39]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {31,32,…,68}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(571, 124, F5, 35) (dual of [124, 53, 36]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {29,30,…,63}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(580, 124, F5, 40) (dual of [124, 44, 41]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {29,30,…,68}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(565, 124, F5, 33) (dual of [124, 59, 34]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {31,32,…,63}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(55, 11, F5, 4) (dual of [11, 6, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(55, 12, F5, 4) (dual of [12, 7, 5]-code), using
- linear OA(51, 7, F5, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-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(586, 71, F5, 2, 40) (dual of [(71, 2), 56, 41]-NRT-code) | [i] | OOA Folding | |