Information on Result #640972
Linear OA(3115, 122, F3, 73) (dual of [122, 7, 74]-code), using juxtaposition based on
- linear OA(334, 41, F3, 22) (dual of [41, 7, 23]-code), using
- 1 times truncation [i] based on linear OA(335, 42, F3, 23) (dual of [42, 7, 24]-code), using
- construction X applied to C([0,21]) ⊂ C([1,21]) [i] based on
- linear OA(334, 40, F3, 23) (dual of [40, 6, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [0,21], and minimum distance d ≥ |{−1,0,…,21}|+1 = 24 (BCH-bound) [i]
- linear OA(333, 40, F3, 21) (dual of [40, 7, 22]-code), using the narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(31, 2, F3, 1) (dual of [2, 1, 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
- construction X applied to C([0,21]) ⊂ C([1,21]) [i] based on
- 1 times truncation [i] based on linear OA(335, 42, F3, 23) (dual of [42, 7, 24]-code), using
- linear OA(374, 81, F3, 50) (dual of [81, 7, 51]-code), using
- an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.