Information on Result #703638
Linear OA(3142, 264, F3, 46) (dual of [264, 122, 47]-code), using construction XX applied to C1 = C([239,40]), C2 = C([1,42]), C3 = C1 + C2 = C([1,40]), and C∩ = C1 ∩ C2 = C([239,42]) based on
- linear OA(3131, 242, F3, 44) (dual of [242, 111, 45]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,40}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3125, 242, F3, 42) (dual of [242, 117, 43]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3136, 242, F3, 46) (dual of [242, 106, 47]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,42}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3120, 242, F3, 40) (dual of [242, 122, 41]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(35, 16, F3, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,3)), using
- linear OA(31, 6, F3, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-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.