Information on Result #2228435
Linear OA(365, 137, F3, 21) (dual of [137, 72, 22]-code), using 1 times truncation based on linear OA(366, 138, F3, 22) (dual of [138, 72, 23]-code), using
- construction XX applied to C1 = C({1,8,10,13,16,19,22,25,26,31}), C2 = C({1,4,7,8,10,13,16,19,22,25,26}), C3 = C1 + C2 = C({1,8,10,13,16,19,22,25,26}), and C∩ = C1 ∩ C2 = C({1,4,7,8,10,13,16,19,22,25,26,31}) [i] based on
- linear OA(350, 121, F3, 17) (dual of [121, 71, 18]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,8,10,13,16,19,22,25,26,31}, and minimum distance d ≥ |{−30,−10,10,…,48}|+1 = 18 (BCH-bound) [i]
- linear OA(355, 121, F3, 20) (dual of [121, 66, 21]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,4,7,8,10,13,16,19,22,25,26}, and minimum distance d ≥ |{10,30,50,…,27}|+1 = 21 (BCH-bound) [i]
- linear OA(360, 121, F3, 22) (dual of [121, 61, 23]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,4,7,8,10,13,16,19,22,25,26,31}, and minimum distance d ≥ |{−30,−10,10,…,27}|+1 = 23 (BCH-bound) [i]
- linear OA(345, 121, F3, 15) (dual of [121, 76, 16]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,8,10,13,16,19,22,25,26}, and minimum distance d ≥ |{10,30,50,…,48}|+1 = 16 (BCH-bound) [i]
- 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
- linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- Golay code G(3) [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.