Information on Result #703433
Linear OA(3119, 275, F3, 35) (dual of [275, 156, 36]-code), using construction XX applied to C1 = C([88,121]), C2 = C([96,122]), C3 = C1 + C2 = C([96,121]), and C∩ = C1 ∩ C2 = C([88,122]) based on
- linear OA(3101, 242, F3, 34) (dual of [242, 141, 35]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {88,89,…,121}, and designed minimum distance d ≥ |I|+1 = 35 [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 = {96,97,…,122}, and designed minimum distance d ≥ |I|+1 = 28 [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 = {88,89,…,122}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- 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 = {96,97,…,121}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(313, 28, F3, 7) (dual of [28, 15, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 28 | 36−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [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.