Information on Result #670233
Linear OA(8174, 6643, F81, 30) (dual of [6643, 6569, 31]-code), using (u, u+v)-construction based on
- linear OA(8115, 82, F81, 15) (dual of [82, 67, 16]-code or 82-arc in PG(14,81)), using
- extended Reed–Solomon code RSe(67,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(8159, 6561, F81, 30) (dual of [6561, 6502, 31]-code), using
- an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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.