Information on Result #604402

Linear OA(316, 17, F3, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,3)), using dual of repetition code with length 17

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(316, 17, F3, 15) (dual of [17, 1, 16]-code) [i]Strength Reduction
2Linear OA(316, 17, F3, 14) (dual of [17, 1, 15]-code) [i]
3Linear OA(316, 17, F3, 13) (dual of [17, 1, 14]-code) [i]
4Linear OA(3145, 745, F3, 33) (dual of [745, 600, 34]-code) [i](u, u+v)-Construction
5Linear OA(3112, 260, F3, 32) (dual of [260, 148, 33]-code) [i]
6Linear OA(3140, 746, F3, 32) (dual of [746, 606, 33]-code) [i]
7Linear OA(3164, 2204, F3, 32) (dual of [2204, 2040, 33]-code) [i]
8Linear OA(3185, 6578, F3, 32) (dual of [6578, 6393, 33]-code) [i]
9Linear OA(3206, 19700, F3, 32) (dual of [19700, 19494, 33]-code) [i]
10Linear OA(3227, 59066, F3, 32) (dual of [59066, 58839, 33]-code) [i]
11Linear OA(3248, 177164, F3, 32) (dual of [177164, 176916, 33]-code) [i]
12Linear OA(3171, 2205, F3, 33) (dual of [2205, 2034, 34]-code) [i]Construction X with Cyclic Codes
13Linear OA(3193, 6579, F3, 33) (dual of [6579, 6386, 34]-code) [i]
14Linear OA(3215, 19701, F3, 33) (dual of [19701, 19486, 34]-code) [i]
15Linear OA(3237, 59067, F3, 33) (dual of [59067, 58830, 34]-code) [i]
16Linear OA(3161, 382, F3, 39) (dual of [382, 221, 40]-code) [i]
17Linear OA(3149, 163, F3, 51) (dual of [163, 14, 52]-code) [i]
18Linear OA(3221, 254, F3, 114) (dual of [254, 33, 115]-code) [i]Construction X with VarÅ¡amov Bound
19Linear OA(3222, 255, F3, 115) (dual of [255, 33, 116]-code) [i]
20Linear OA(3247, 280, F3, 128) (dual of [280, 33, 129]-code) [i]