Information on Result #710039
Linear OA(592, 159, F5, 38) (dual of [159, 67, 39]-code), using construction XX applied to C1 = C([123,33]), C2 = C([11,36]), C3 = C1 + C2 = C([11,33]), and C∩ = C1 ∩ C2 = C([123,36]) based on
- 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 = {−1,0,…,33}, and designed minimum distance d ≥ |I|+1 = 36 [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(555, 124, F5, 23) (dual of [124, 69, 24]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {11,12,…,33}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(515, 29, F5, 11) (dual of [29, 14, 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, 6, F5, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,5)), using
- extended Reed–Solomon code RSe(4,5) [i]
- Hamming code H(2,5) [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
None.