Information on Result #604934

Linear OA(536, 37, F5, 36) (dual of [37, 1, 37]-code or 37-arc in PG(35,5)), using dual of repetition code with length 37

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(536, 37, F5, 35) (dual of [37, 1, 36]-code) [i]Strength Reduction
2Linear OA(536, 37, F5, 34) (dual of [37, 1, 35]-code) [i]
3Linear OA(536, 37, F5, 33) (dual of [37, 1, 34]-code) [i]
4Linear OA(536, 37, F5, 32) (dual of [37, 1, 33]-code) [i]
5Linear OA(536, 37, F5, 31) (dual of [37, 1, 32]-code) [i]
6Linear OA(582, 169, F5, 36) (dual of [169, 87, 37]-code) [i]VarÅ¡amov–Edel Lengthening
7Linear OA(587, 208, F5, 36) (dual of [208, 121, 37]-code) [i]
8Linear OA(588, 217, F5, 36) (dual of [217, 129, 37]-code) [i]
9Linear OA(592, 257, F5, 36) (dual of [257, 165, 37]-code) [i]
10Linear OA(5104, 433, F5, 36) (dual of [433, 329, 37]-code) [i]
11Linear OA(5106, 473, F5, 36) (dual of [473, 367, 37]-code) [i]
12Linear OA(5118, 808, F5, 36) (dual of [808, 690, 37]-code) [i]
13Linear OA(5121, 925, F5, 36) (dual of [925, 804, 37]-code) [i]
14Linear OA(5130, 1390, F5, 36) (dual of [1390, 1260, 37]-code) [i]
15Linear OA(5133, 1593, F5, 36) (dual of [1593, 1460, 37]-code) [i]
16Linear OA(5134, 1667, F5, 36) (dual of [1667, 1533, 37]-code) [i]
17Linear OA(5140, 2191, F5, 36) (dual of [2191, 2051, 37]-code) [i]
18Linear OA(5149, 3305, F5, 36) (dual of [3305, 3156, 37]-code) [i]