Information on Result #604702

Linear OA(465, 66, F4, 65) (dual of [66, 1, 66]-code or 66-arc in PG(64,4)), using dual of repetition code with length 66

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(465, 66, F4, 64) (dual of [66, 1, 65]-code) [i]Strength Reduction
2Linear OA(465, 66, F4, 63) (dual of [66, 1, 64]-code) [i]
3Linear OA(465, 66, F4, 62) (dual of [66, 1, 63]-code) [i]
4Linear OA(465, 66, F4, 61) (dual of [66, 1, 62]-code) [i]
5Linear OA(465, 66, F4, 60) (dual of [66, 1, 61]-code) [i]
6Linear OA(465, 66, F4, 59) (dual of [66, 1, 60]-code) [i]
7Linear OA(465, 66, F4, 58) (dual of [66, 1, 59]-code) [i]
8Linear OA(465, 66, F4, 57) (dual of [66, 1, 58]-code) [i]
9Linear OA(465, 66, F4, 56) (dual of [66, 1, 57]-code) [i]
10Linear OA(465, 66, F4, 55) (dual of [66, 1, 56]-code) [i]
11Linear OA(465, 66, F4, 54) (dual of [66, 1, 55]-code) [i]
12Linear OA(465, 66, F4, 53) (dual of [66, 1, 54]-code) [i]
13Linear OA(4128, 165, F4, 65) (dual of [165, 37, 66]-code) [i]VarÅ¡amov–Edel Lengthening
14Linear OA(4129, 168, F4, 65) (dual of [168, 39, 66]-code) [i]
15Linear OA(4130, 171, F4, 65) (dual of [171, 41, 66]-code) [i]
16Linear OA(4131, 174, F4, 65) (dual of [174, 43, 66]-code) [i]
17Linear OA(4132, 177, F4, 65) (dual of [177, 45, 66]-code) [i]
18Linear OA(4133, 180, F4, 65) (dual of [180, 47, 66]-code) [i]
19Linear OA(4150, 245, F4, 65) (dual of [245, 95, 66]-code) [i]
20Linear OA(4154, 264, F4, 65) (dual of [264, 110, 66]-code) [i]
21Linear OA(4155, 269, F4, 65) (dual of [269, 114, 66]-code) [i]
22Linear OA(4160, 296, F4, 65) (dual of [296, 136, 66]-code) [i]
23Linear OA(4165, 326, F4, 65) (dual of [326, 161, 66]-code) [i]
24Linear OA(4167, 339, F4, 65) (dual of [339, 172, 66]-code) [i]
25Linear OA(4172, 374, F4, 65) (dual of [374, 202, 66]-code) [i]
26Linear OA(4175, 397, F4, 65) (dual of [397, 222, 66]-code) [i]
27Linear OA(4176, 405, F4, 65) (dual of [405, 229, 66]-code) [i]
28Linear OA(4177, 413, F4, 65) (dual of [413, 236, 66]-code) [i]
29Linear OA(4185, 485, F4, 65) (dual of [485, 300, 66]-code) [i]
30Linear OA(4186, 495, F4, 65) (dual of [495, 309, 66]-code) [i]
31Linear OA(4187, 505, F4, 65) (dual of [505, 318, 66]-code) [i]
32Linear OA(4198, 632, F4, 65) (dual of [632, 434, 66]-code) [i]
33Linear OA(4199, 645, F4, 65) (dual of [645, 446, 66]-code) [i]
34Linear OA(4205, 730, F4, 65) (dual of [730, 525, 66]-code) [i]
35Linear OA(4207, 761, F4, 65) (dual of [761, 554, 66]-code) [i]
36Linear OA(4208, 777, F4, 65) (dual of [777, 569, 66]-code) [i]
37Linear OA(4213, 862, F4, 65) (dual of [862, 649, 66]-code) [i]
38Linear OA(4217, 937, F4, 65) (dual of [937, 720, 66]-code) [i]
39Linear OA(4218, 957, F4, 65) (dual of [957, 739, 66]-code) [i]
40Linear OA(4238, 1458, F4, 65) (dual of [1458, 1220, 66]-code) [i]
41Linear OA(4244, 1656, F4, 65) (dual of [1656, 1412, 66]-code) [i]
42Linear OA(4258, 2231, F4, 65) (dual of [2231, 1973, 66]-code) [i]