Information on Result #612452

Linear OA(3111, 121, F3, 68) (dual of [121, 10, 69]-code), using the expurgated narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [0,66], and minimum distance d ≥ |{−1,0,…,66}|+1 = 69 (BCH-bound)

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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3110, 120, F3, 67) (dual of [120, 10, 68]-code) [i]Truncation
2Linear OA(3109, 119, F3, 66) (dual of [119, 10, 67]-code) [i]
3Linear OA(3108, 118, F3, 65) (dual of [118, 10, 66]-code) [i]
4Linear OA(3107, 117, F3, 64) (dual of [117, 10, 65]-code) [i]
5Linear OA(3106, 116, F3, 63) (dual of [116, 10, 64]-code) [i]
6Linear OA(3105, 115, F3, 62) (dual of [115, 10, 63]-code) [i]
7Linear OA(3104, 114, F3, 61) (dual of [114, 10, 62]-code) [i]
8Linear OA(3103, 113, F3, 60) (dual of [113, 10, 61]-code) [i]
9Linear OA(3112, 123, F3, 68) (dual of [123, 11, 69]-code) [i]✔Construction X with Cyclic Codes
10Linear OA(3112, 127, F3, 64) (dual of [127, 15, 65]-code) [i]✔
11Linear OA(3117, 132, F3, 68) (dual of [132, 15, 69]-code) [i]✔
12Linear OA(3113, 125, F3, 65) (dual of [125, 12, 66]-code) [i]✔
13Linear OA(3122, 138, F3, 68) (dual of [138, 16, 69]-code) [i]✔
14Linear OA(3118, 134, F3, 68) (dual of [134, 16, 69]-code) [i]✔Construction XX with Cyclic Codes
15Linear OA(3113, 129, F3, 64) (dual of [129, 16, 65]-code) [i]✔
16Linear OA(3134, 149, F3, 74) (dual of [149, 15, 75]-code) [i]✔
17Linear OA(3132, 147, F3, 73) (dual of [147, 15, 74]-code) [i]✔
18Linear OA(3130, 145, F3, 72) (dual of [145, 15, 73]-code) [i]✔
19Linear OA(3125, 140, F3, 71) (dual of [140, 15, 72]-code) [i]✔
20Linear OA(3123, 138, F3, 70) (dual of [138, 15, 71]-code) [i]✔
21Linear OA(3133, 147, F3, 74) (dual of [147, 14, 75]-code) [i]✔
22Linear OA(3131, 145, F3, 73) (dual of [145, 14, 74]-code) [i]✔
23Linear OA(3129, 143, F3, 72) (dual of [143, 14, 73]-code) [i]✔
24Linear OA(3132, 145, F3, 74) (dual of [145, 13, 75]-code) [i]✔
25Linear OA(3130, 143, F3, 73) (dual of [143, 13, 74]-code) [i]✔
26Linear OA(3128, 141, F3, 72) (dual of [141, 13, 73]-code) [i]✔
27Linear OA(3132, 147, F3, 72) (dual of [147, 15, 73]-code) [i]✔Construction XX with a Chain of Cyclic Codes
28Linear OA(3140, 153, F3, 79) (dual of [153, 13, 80]-code) [i]✔
29Linear OA(3126, 139, F3, 70) (dual of [139, 13, 71]-code) [i]✔
30Linear OA(3119, 135, F3, 68) (dual of [135, 16, 69]-code) [i]✔