Information on Result #661927
Linear OA(3138, 751, F3, 31) (dual of [751, 613, 32]-code), using (u, u+v)-construction based on
- linear OA(320, 22, F3, 15) (dual of [22, 2, 16]-code), using
- 2 times truncation [i] based on linear OA(322, 24, F3, 17) (dual of [24, 2, 18]-code), using
- repeating each code word 6 times [i] based on linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [i]
- repeating each code word 6 times [i] based on linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- 2 times truncation [i] based on linear OA(322, 24, F3, 17) (dual of [24, 2, 18]-code), using
- linear OA(3118, 729, F3, 31) (dual of [729, 611, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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.
Other Results with Identical Parameters
None.
Depending Results
None.