Information on Result #662033
Linear OA(3119, 177158, F3, 15) (dual of [177158, 177039, 16]-code), using (u, u+v)-construction based on
- linear OA(39, 12, F3, 7) (dual of [12, 3, 8]-code), using
- 1 times truncation [i] based on linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
- Simplex code S(3,3) [i]
- the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
- linear OA(3110, 177146, F3, 15) (dual of [177146, 177036, 16]-code), using
- 1 times truncation [i] based on linear OA(3111, 177147, F3, 16) (dual of [177147, 177036, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 1 times truncation [i] based on linear OA(3111, 177147, F3, 16) (dual of [177147, 177036, 17]-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.
Other Results with Identical Parameters
None.
Depending Results
None.