Information on Result #703346
Linear OA(396, 267, F3, 27) (dual of [267, 171, 28]-code), using construction XX applied to C1 = C([238,21]), C2 = C([0,22]), C3 = C1 + C2 = C([0,21]), and C∩ = C1 ∩ C2 = C([238,22]) based on
- linear OA(386, 242, F3, 26) (dual of [242, 156, 27]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−4,−3,…,21}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(376, 242, F3, 23) (dual of [242, 166, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(391, 242, F3, 27) (dual of [242, 151, 28]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−4,−3,…,22}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(371, 242, F3, 22) (dual of [242, 171, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), using
- 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.