Information on Result #662737
Linear OA(531, 78136, F5, 5) (dual of [78136, 78105, 6]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(51, 6, F5, 1) (dual of [6, 5, 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
- 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]
- linear OA(528, 78124, F5, 5) (dual of [78124, 78096, 6]-code), using
- 1 times truncation [i] based on linear OA(529, 78125, F5, 6) (dual of [78125, 78096, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- 1 times truncation [i] based on linear OA(529, 78125, F5, 6) (dual of [78125, 78096, 7]-code), 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
None.