Information on Result #631326
Linear OA(3226, 284, F3, 83) (dual of [284, 58, 84]-code), using concatenation of two codes based on
- linear OA(942, 71, F9, 27) (dual of [71, 29, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(942, 78, F9, 27) (dual of [78, 36, 28]-code), using
- 4 times truncation [i] based on linear OA(946, 82, F9, 31) (dual of [82, 36, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- linear OA(946, 81, F9, 31) (dual of [81, 35, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(945, 81, F9, 30) (dual of [81, 36, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- 4 times truncation [i] based on linear OA(946, 82, F9, 31) (dual of [82, 36, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(942, 78, F9, 27) (dual of [78, 36, 28]-code), using
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [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.