Information on Result #710037
Linear OA(593, 162, F5, 38) (dual of [162, 69, 39]-code), using construction XX applied to C1 = C([123,32]), C2 = C([11,36]), C3 = C1 + C2 = C([11,32]), and C∩ = C1 ∩ C2 = C([123,36]) based on
- linear OA(568, 124, F5, 34) (dual of [124, 56, 35]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−1,0,…,32}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(561, 124, F5, 26) (dual of [124, 63, 27]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {11,12,…,36}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- 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 = {−1,0,…,36}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(552, 124, F5, 22) (dual of [124, 72, 23]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {11,12,…,32}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(515, 28, F5, 11) (dual of [28, 13, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,5) [i]
- discarding factors / shortening the dual code based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- linear OA(54, 10, F5, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,5)), 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(593, 81, F5, 2, 38) (dual of [(81, 2), 69, 39]-NRT-code) | [i] | OOA Folding | |