Information on Result #666545
Linear OA(2751, 19695, F27, 14) (dual of [19695, 19644, 15]-code), using generalized (u, u+v)-construction based on
- linear OA(272, 3, F27, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,27)), using
- dual of repetition code with length 3 [i]
- linear OA(273, 3, F27, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,27) or 3-cap in PG(2,27)), using
- linear OA(273, 3, F27, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,27) or 3-cap in PG(2,27)) (see above)
- linear OA(273, 3, F27, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,27) or 3-cap in PG(2,27)) (see above)
- linear OA(2740, 19683, F27, 14) (dual of [19683, 19643, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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.