Information on Result #700941

Linear OA(3111, 121, F3, 65) (dual of [121, 10, 66]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {0,1,2,4,5,7,8,10,11,13,16,17,19,20,22,25,26,31,34,35,38,40,67}, and minimum distance d ≥ |{−4,−3,…,60}|+1 = 66 (BCH-bound)

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3132, 148, F3, 72) (dual of [148, 16, 73]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(3127, 143, F3, 71) (dual of [143, 16, 72]-code) [i]✔
3Linear OA(3131, 146, F3, 72) (dual of [146, 15, 73]-code) [i]✔
4Linear OA(3130, 144, F3, 72) (dual of [144, 14, 73]-code) [i]✔
5Linear OA(3134, 149, F3, 74) (dual of [149, 15, 75]-code) [i]✔
6Linear OA(3132, 147, F3, 73) (dual of [147, 15, 74]-code) [i]✔
7Linear OA(3130, 145, F3, 72) (dual of [145, 15, 73]-code) [i]✔
8Linear OA(3125, 140, F3, 71) (dual of [140, 15, 72]-code) [i]✔
9Linear OA(3123, 138, F3, 70) (dual of [138, 15, 71]-code) [i]✔
10Linear OA(3133, 147, F3, 74) (dual of [147, 14, 75]-code) [i]✔
11Linear OA(3131, 145, F3, 73) (dual of [145, 14, 74]-code) [i]✔
12Linear OA(3129, 143, F3, 72) (dual of [143, 14, 73]-code) [i]✔
13Linear OA(3132, 145, F3, 74) (dual of [145, 13, 75]-code) [i]✔
14Linear OA(3130, 143, F3, 73) (dual of [143, 13, 74]-code) [i]✔
15Linear OA(3128, 141, F3, 72) (dual of [141, 13, 73]-code) [i]✔