Information on Result #953313
Linear OOA(370, 43, F3, 3, 24) (dual of [(43, 3), 59, 25]-NRT-code), using OOA 3-folding based on linear OA(370, 129, F3, 24) (dual of [129, 59, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(370, 131, F3, 24) (dual of [131, 61, 25]-code), using
- construction XX applied to C1 = C({1,4,7,8,10,13,16,19,22,25,26,31,34}), C2 = C({1,4,7,8,10,13,16,19,20,22,25,26,31}), C3 = C1 + C2 = C({1,4,7,8,10,13,16,19,22,25,26,31}), and C∩ = C1 ∩ C2 = C({1,4,7,8,10,13,16,19,20,22,25,26,31,34}) [i] based on
- linear OA(365, 121, F3, 23) (dual of [121, 56, 24]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,4,7,8,10,13,16,19,22,25,26,31,34}, and minimum distance d ≥ |{−50,−30,−10,…,27}|+1 = 24 (BCH-bound) [i]
- linear OA(365, 121, F3, 23) (dual of [121, 56, 24]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,4,7,8,10,13,16,19,20,22,25,26,31}, and minimum distance d ≥ |{−30,−10,10,…,47}|+1 = 24 (BCH-bound) [i]
- linear OA(370, 121, F3, 24) (dual of [121, 51, 25]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,4,7,8,10,13,16,19,20,22,25,26,31,34}, and minimum distance d ≥ |{−50,−30,−10,…,47}|+1 = 25 (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(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
- linear OA(30, 5, F3, 0) (dual of [5, 5, 1]-code) (see above)
- construction XX applied to C1 = C({1,4,7,8,10,13,16,19,22,25,26,31,34}), C2 = C({1,4,7,8,10,13,16,19,20,22,25,26,31}), C3 = C1 + C2 = C({1,4,7,8,10,13,16,19,22,25,26,31}), and C∩ = C1 ∩ C2 = C({1,4,7,8,10,13,16,19,20,22,25,26,31,34}) [i] based on
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.