Information on Result #672072
Linear OA(8174, 531623, F81, 20) (dual of [531623, 531549, 21]-code), using (u, u+v)-construction based on
- linear OA(8116, 182, F81, 10) (dual of [182, 166, 11]-code), using
- (u, u+v)-construction [i] based on
- linear OA(815, 82, F81, 5) (dual of [82, 77, 6]-code or 82-arc in PG(4,81)), using
- extended Reed–Solomon code RSe(77,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(8111, 100, F81, 10) (dual of [100, 89, 11]-code), using
- extended algebraic-geometric code AGe(F,89P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OA(815, 82, F81, 5) (dual of [82, 77, 6]-code or 82-arc in PG(4,81)), using
- (u, u+v)-construction [i] based on
- linear OA(8158, 531441, F81, 20) (dual of [531441, 531383, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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.