Information on Result #630854
Linear OA(3147, 201, F3, 51) (dual of [201, 54, 52]-code), using concatenation of two codes based on
- linear OA(940, 67, F9, 25) (dual of [67, 27, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(940, 76, F9, 25) (dual of [76, 36, 26]-code), using
- 6 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
- 6 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(940, 76, F9, 25) (dual of [76, 36, 26]-code), using
- linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.