Information on Result #710021
Linear OA(587, 156, F5, 36) (dual of [156, 69, 37]-code), using construction XX applied to C1 = C([1,33]), C2 = C([13,36]), C3 = C1 + C2 = C([13,33]), and C∩ = C1 ∩ C2 = C([1,36]) based on
- linear OA(567, 124, F5, 33) (dual of [124, 57, 34]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(558, 124, F5, 24) (dual of [124, 66, 25]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {13,14,…,36}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(570, 124, F5, 36) (dual of [124, 54, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(552, 124, F5, 21) (dual of [124, 72, 22]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {13,14,…,33}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(515, 27, F5, 11) (dual of [27, 12, 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(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- Reed–Solomon code RS(3,5) [i]
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(587, 78, F5, 2, 36) (dual of [(78, 2), 69, 37]-NRT-code) | [i] | OOA Folding | |