Information on Result #666542
Linear OA(2767, 19699, F27, 18) (dual of [19699, 19632, 19]-code), using generalized (u, u+v)-construction based on
- linear OA(273, 4, F27, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,27) or 4-cap in PG(2,27)), using
- dual of repetition code with length 4 [i]
- linear OA(274, 4, F27, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,27)), using
- linear OA(274, 4, F27, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,27)) (see above)
- linear OA(274, 4, F27, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,27)) (see above)
- linear OA(2752, 19683, F27, 18) (dual of [19683, 19631, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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.