Information on Result #641016
Linear OA(3131, 136, F3, 87) (dual of [136, 5, 88]-code), using juxtaposition based on
- linear OA(310, 15, F3, 6) (dual of [15, 5, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 22, F3, 6) (dual of [22, 12, 7]-code), using
- 2 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]
- 2 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(310, 22, F3, 6) (dual of [22, 12, 7]-code), using
- linear OA(3116, 121, F3, 80) (dual of [121, 5, 81]-code), using
- Simplex code S(5,3) [i]
- the expurgated narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [0,75], and minimum distance d ≥ |{5,15,25,…,−52}|+1 = 81 (BCH-bound) [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.