Information on Result #662002
Linear OA(354, 126, F3, 17) (dual of [126, 72, 18]-code), using (u, u+v)-construction based on
- linear OA(321, 63, F3, 8) (dual of [63, 42, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- linear OA(333, 63, F3, 17) (dual of [63, 30, 18]-code), using
- 3 times code embedding in larger space [i] based on linear OA(330, 60, F3, 17) (dual of [60, 30, 18]-code), using
- extended quadratic residue code Qe(60,3) [i]
- 3 times code embedding in larger space [i] based on linear OA(330, 60, F3, 17) (dual of [60, 30, 18]-code), 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.