Information on Result #662773
Linear OA(5103, 643, F5, 28) (dual of [643, 540, 29]-code), using (u, u+v)-construction based on
- linear OA(516, 18, F5, 14) (dual of [18, 2, 15]-code), using
- repeating each code word 3 times [i] based on linear OA(54, 6, F5, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
- extended Reed–Solomon code RSe(2,5) [i]
- Simplex code S(2,5) [i]
- repeating each code word 3 times [i] based on linear OA(54, 6, F5, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
- linear OA(587, 625, F5, 28) (dual of [625, 538, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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.