Information on Result #604701

Linear OA(464, 65, F4, 64) (dual of [65, 1, 65]-code or 65-arc in PG(63,4)), using dual of repetition code with length 65

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(464, 65, F4, 63) (dual of [65, 1, 64]-code) [i]Strength Reduction
2Linear OA(464, 65, F4, 62) (dual of [65, 1, 63]-code) [i]
3Linear OA(464, 65, F4, 61) (dual of [65, 1, 62]-code) [i]
4Linear OA(464, 65, F4, 60) (dual of [65, 1, 61]-code) [i]
5Linear OA(464, 65, F4, 59) (dual of [65, 1, 60]-code) [i]
6Linear OA(464, 65, F4, 58) (dual of [65, 1, 59]-code) [i]
7Linear OA(464, 65, F4, 57) (dual of [65, 1, 58]-code) [i]
8Linear OA(464, 65, F4, 56) (dual of [65, 1, 57]-code) [i]
9Linear OA(464, 65, F4, 55) (dual of [65, 1, 56]-code) [i]
10Linear OA(464, 65, F4, 54) (dual of [65, 1, 55]-code) [i]
11Linear OA(464, 65, F4, 53) (dual of [65, 1, 54]-code) [i]
12Linear OA(464, 65, F4, 52) (dual of [65, 1, 53]-code) [i]
13Linear OA(4124, 157, F4, 64) (dual of [157, 33, 65]-code) [i]VarÅ¡amov–Edel Lengthening
14Linear OA(4140, 209, F4, 64) (dual of [209, 69, 65]-code) [i]
15Linear OA(4141, 213, F4, 64) (dual of [213, 72, 65]-code) [i]
16Linear OA(4142, 217, F4, 64) (dual of [217, 75, 65]-code) [i]
17Linear OA(4143, 221, F4, 64) (dual of [221, 78, 65]-code) [i]
18Linear OA(4165, 338, F4, 64) (dual of [338, 173, 65]-code) [i]
19Linear OA(4166, 345, F4, 64) (dual of [345, 179, 65]-code) [i]
20Linear OA(4167, 352, F4, 64) (dual of [352, 185, 65]-code) [i]
21Linear OA(4168, 359, F4, 64) (dual of [359, 191, 65]-code) [i]
22Linear OA(4172, 389, F4, 64) (dual of [389, 217, 65]-code) [i]
23Linear OA(4173, 397, F4, 64) (dual of [397, 224, 65]-code) [i]
24Linear OA(4174, 405, F4, 64) (dual of [405, 231, 65]-code) [i]
25Linear OA(4190, 562, F4, 64) (dual of [562, 372, 65]-code) [i]
26Linear OA(4191, 574, F4, 64) (dual of [574, 383, 65]-code) [i]
27Linear OA(4192, 586, F4, 64) (dual of [586, 394, 65]-code) [i]
28Linear OA(4198, 664, F4, 64) (dual of [664, 466, 65]-code) [i]
29Linear OA(4199, 678, F4, 64) (dual of [678, 479, 65]-code) [i]
30Linear OA(4209, 837, F4, 64) (dual of [837, 628, 65]-code) [i]
31Linear OA(4210, 855, F4, 64) (dual of [855, 645, 65]-code) [i]
32Linear OA(4212, 892, F4, 64) (dual of [892, 680, 65]-code) [i]
33Linear OA(4217, 992, F4, 64) (dual of [992, 775, 65]-code) [i]
34Linear OA(4228, 1255, F4, 64) (dual of [1255, 1027, 65]-code) [i]
35Linear OA(4230, 1310, F4, 64) (dual of [1310, 1080, 65]-code) [i]
36Linear OA(4244, 1771, F4, 64) (dual of [1771, 1527, 65]-code) [i]
37Linear OA(4248, 1931, F4, 64) (dual of [1931, 1683, 65]-code) [i]
38Linear OA(4254, 2199, F4, 64) (dual of [2199, 1945, 65]-code) [i]
39Linear OA(4260, 2505, F4, 64) (dual of [2505, 2245, 65]-code) [i]