Information on Result #612141

Linear OA(3155, 2188, F3, 33) (dual of [2188, 2033, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(3155, 1428, F3, 2, 33) (dual of [(1428, 2), 2701, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3155, 1428, F3, 3, 33) (dual of [(1428, 3), 4129, 34]-NRT-code) [i]
3Linear OOA(3155, 1428, F3, 4, 33) (dual of [(1428, 4), 5557, 34]-NRT-code) [i]
4Linear OOA(3155, 1428, F3, 5, 33) (dual of [(1428, 5), 6985, 34]-NRT-code) [i]
5Digital (122, 155, 1428)-net over F3 [i]
6Linear OA(3171, 2205, F3, 33) (dual of [2205, 2034, 34]-code) [i]✔Construction X with Cyclic Codes
7Linear OA(3170, 2203, F3, 35) (dual of [2203, 2033, 36]-code) [i]✔
8Linear OA(3172, 2192, F3, 37) (dual of [2192, 2020, 38]-code) [i]✔
9Linear OA(3173, 2198, F3, 37) (dual of [2198, 2025, 38]-code) [i]✔
10Linear OA(3174, 2207, F3, 37) (dual of [2207, 2033, 38]-code) [i]✔
11Linear OA(3171, 2192, F3, 36) (dual of [2192, 2021, 37]-code) [i]✔
12Linear OA(3172, 2201, F3, 36) (dual of [2201, 2029, 37]-code) [i]✔
13Linear OA(3156, 2203, F3, 33) (dual of [2203, 2047, 34]-code) [i]✔
14Linear OA(3191, 2216, F3, 39) (dual of [2216, 2025, 40]-code) [i]✔
15Linear OA(3193, 2224, F3, 39) (dual of [2224, 2031, 40]-code) [i]✔
16Linear OA(3194, 2227, F3, 39) (dual of [2227, 2033, 40]-code) [i]✔
17Linear OA(3191, 2224, F3, 38) (dual of [2224, 2033, 39]-code) [i]✔
18Linear OA(3163, 2216, F3, 33) (dual of [2216, 2053, 34]-code) [i]✔
19Linear OA(3165, 2224, F3, 33) (dual of [2224, 2059, 34]-code) [i]✔
20Linear OA(3166, 2227, F3, 33) (dual of [2227, 2061, 34]-code) [i]✔
21Linear OA(3163, 2224, F3, 32) (dual of [2224, 2061, 33]-code) [i]✔
22Linear OA(3219, 2240, F3, 43) (dual of [2240, 2021, 44]-code) [i]✔
23Linear OA(3216, 2236, F3, 42) (dual of [2236, 2020, 43]-code) [i]✔
24Linear OA(3217, 2238, F3, 42) (dual of [2238, 2021, 43]-code) [i]✔
25Linear OA(3218, 2251, F3, 42) (dual of [2251, 2033, 43]-code) [i]✔
26Linear OA(3214, 2247, F3, 41) (dual of [2247, 2033, 42]-code) [i]✔
27Linear OA(3172, 2247, F3, 33) (dual of [2247, 2075, 34]-code) [i]✔
28Linear OA(3193, 2226, F3, 39) (dual of [2226, 2033, 40]-code) [i]✔
29Linear OA(3165, 2226, F3, 33) (dual of [2226, 2061, 34]-code) [i]✔
30Linear OA(3170, 2232, F3, 33) (dual of [2232, 2062, 34]-code) [i]✔
31Linear OA(3171, 2246, F3, 33) (dual of [2246, 2075, 34]-code) [i]✔