Information on Result #703140
Linear OA(345, 262, F3, 12) (dual of [262, 217, 13]-code), using construction XX applied to C1 = C([111,120]), C2 = C([114,122]), C3 = C1 + C2 = C([114,120]), and C∩ = C1 ∩ C2 = C([111,122]) based on
- linear OA(335, 242, F3, 10) (dual of [242, 207, 11]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {111,112,…,120}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(331, 242, F3, 9) (dual of [242, 211, 10]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {114,115,…,122}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(341, 242, F3, 12) (dual of [242, 201, 13]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {111,112,…,122}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(325, 242, F3, 7) (dual of [242, 217, 8]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {114,115,…,120}, 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(31, 7, F3, 1) (dual of [7, 6, 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.