Information on Result #604920

Linear OA(522, 23, F5, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,5)), using dual of repetition code with length 23

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(522, 23, F5, 21) (dual of [23, 1, 22]-code) [i]Strength Reduction
2Linear OA(522, 23, F5, 20) (dual of [23, 1, 21]-code) [i]
3Linear OA(565, 327, F5, 22) (dual of [327, 262, 23]-code) [i]VarÅ¡amov–Edel Lengthening
4Linear OA(577, 804, F5, 22) (dual of [804, 727, 23]-code) [i]
5Linear OA(580, 1009, F5, 22) (dual of [1009, 929, 23]-code) [i]
6Linear OA(583, 1267, F5, 22) (dual of [1267, 1184, 23]-code) [i]
7Linear OA(584, 1367, F5, 22) (dual of [1367, 1283, 23]-code) [i]
8Linear OA(5114, 78148, F5, 19) (dual of [78148, 78034, 20]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
9Linear OA(5107, 78148, F5, 18) (dual of [78148, 78041, 19]-code) [i]