Information on Result #2264584
Linear OA(348, 269, F3, 13) (dual of [269, 221, 14]-code), using 1 times code embedding in larger space based on linear OA(347, 268, F3, 13) (dual of [268, 221, 14]-code), using
- construction XX applied to C1 = C([239,6]), C2 = C([0,9]), C3 = C1 + C2 = C([0,6]), and C∩ = C1 ∩ C2 = C([239,9]) [i] based on
- linear OA(331, 242, F3, 10) (dual of [242, 211, 11]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,6}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(331, 242, F3, 10) (dual of [242, 211, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(341, 242, F3, 13) (dual of [242, 201, 14]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,9}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(321, 242, F3, 7) (dual of [242, 221, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code) (see above)
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.