Information on Result #731839
Linear OA(349, 66, F3, 23) (dual of [66, 17, 24]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(311, 22, F3, 7) (dual of [22, 11, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 23, F3, 7) (dual of [23, 12, 8]-code), using
- 1 times truncation [i] based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- 1 times truncation [i] based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 23, F3, 7) (dual of [23, 12, 8]-code), using
- linear OA(316, 22, F3, 11) (dual of [22, 6, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(316, 21, F3, 11) (dual of [21, 5, 12]-code), using an extension Ce(10) of the narrow-sense BCH-code C(I) with length 20 | 34−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(315, 21, F3, 10) (dual of [21, 6, 11]-code), using an extension Ce(9) of the narrow-sense BCH-code C(I) with length 20 | 34−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(322, 22, F3, 22) (dual of [22, 0, 23]-code or 22-arc in PG(21,3)), using
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.