Information on Result #703567
Linear OA(3118, 251, F3, 39) (dual of [251, 133, 40]-code), using construction XX applied to C1 = C([84,121]), C2 = C([87,122]), C3 = C1 + C2 = C([87,121]), and C∩ = C1 ∩ C2 = C([84,122]) based on
- linear OA(3111, 242, F3, 38) (dual of [242, 131, 39]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {84,85,…,121}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(3111, 242, F3, 36) (dual of [242, 131, 37]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {87,88,…,122}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3116, 242, F3, 39) (dual of [242, 126, 40]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {84,85,…,122}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3106, 242, F3, 35) (dual of [242, 136, 36]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {87,88,…,121}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- 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]
- linear OA(30, 5, F3, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.