Information on Result #604664

Linear OA(427, 28, F4, 27) (dual of [28, 1, 28]-code or 28-arc in PG(26,4)), using dual of repetition code with length 28

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(427, 28, F4, 26) (dual of [28, 1, 27]-code) [i]Strength Reduction
2Linear OA(427, 28, F4, 25) (dual of [28, 1, 26]-code) [i]
3Linear OA(427, 28, F4, 24) (dual of [28, 1, 25]-code) [i]
4Linear OA(427, 28, F4, 23) (dual of [28, 1, 24]-code) [i]
5Linear OA(458, 91, F4, 27) (dual of [91, 33, 28]-code) [i]VarÅ¡amov–Edel Lengthening
6Linear OA(465, 126, F4, 27) (dual of [126, 61, 28]-code) [i]
7Linear OA(482, 292, F4, 27) (dual of [292, 210, 28]-code) [i]
8Linear OA(487, 377, F4, 27) (dual of [377, 290, 28]-code) [i]
9Linear OA(488, 397, F4, 27) (dual of [397, 309, 28]-code) [i]
10Linear OA(489, 418, F4, 27) (dual of [418, 329, 28]-code) [i]
11Linear OA(496, 601, F4, 27) (dual of [601, 505, 28]-code) [i]
12Linear OA(499, 703, F4, 27) (dual of [703, 604, 28]-code) [i]
13Linear OA(4110, 1253, F4, 27) (dual of [1253, 1143, 28]-code) [i]
14Linear OA(4111, 1321, F4, 27) (dual of [1321, 1210, 28]-code) [i]
15Linear OA(4117, 1814, F4, 27) (dual of [1814, 1697, 28]-code) [i]
16Linear OA(4137, 5244, F4, 27) (dual of [5244, 5107, 28]-code) [i]
17Linear OA(4238, 1053, F4, 57) (dual of [1053, 815, 58]-code) [i]Construction X with Cyclic Codes