Information on Result #612917

Linear OA(4163, 262145, F4, 25) (dual of [262145, 261982, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound)

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(4162, 262144, F4, 24) (dual of [262144, 261982, 25]-code) [i]Truncation
2Linear OA(4178, 262163, F4, 25) (dual of [262163, 261985, 26]-code) [i](u, u+v)-Construction
3Linear OA(4179, 262165, F4, 25) (dual of [262165, 261986, 26]-code) [i]
4Linear OA(4175, 262158, F4, 25) (dual of [262158, 261983, 26]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(4182, 262164, F4, 27) (dual of [262164, 261982, 28]-code) [i]✔
6Linear OA(4164, 262164, F4, 23) (dual of [262164, 262000, 24]-code) [i]✔
7Linear OA(4166, 262151, F4, 25) (dual of [262151, 261985, 26]-code) [i]✔
8Linear OA(4167, 262162, F4, 25) (dual of [262162, 261995, 26]-code) [i]✔
9Linear OA(4168, 262168, F4, 25) (dual of [262168, 262000, 26]-code) [i]✔
10Linear OA(4166, 262166, F4, 24) (dual of [262166, 262000, 25]-code) [i]✔
11Linear OA(4204, 262186, F4, 29) (dual of [262186, 261982, 30]-code) [i]✔
12Linear OA(4173, 262191, F4, 25) (dual of [262191, 262018, 26]-code) [i]✔
13Linear OA(4170, 262188, F4, 24) (dual of [262188, 262018, 25]-code) [i]✔
14Linear OA(4168, 262186, F4, 23) (dual of [262186, 262018, 24]-code) [i]✔
15Linear OA(4233, 262209, F4, 33) (dual of [262209, 261976, 34]-code) [i]✔
16Linear OA(4234, 262213, F4, 33) (dual of [262213, 261979, 34]-code) [i]✔
17Linear OA(4235, 262217, F4, 33) (dual of [262217, 261982, 34]-code) [i]✔
18Linear OA(4230, 262209, F4, 32) (dual of [262209, 261979, 33]-code) [i]✔
19Linear OA(4233, 262215, F4, 32) (dual of [262215, 261982, 33]-code) [i]✔
20Linear OA(4227, 262209, F4, 31) (dual of [262209, 261982, 32]-code) [i]✔
21Linear OA(4179, 262209, F4, 25) (dual of [262209, 262030, 26]-code) [i]✔
22Linear OA(4180, 262213, F4, 25) (dual of [262213, 262033, 26]-code) [i]✔
23Linear OA(4176, 262209, F4, 24) (dual of [262209, 262033, 25]-code) [i]✔
24Linear OA(4179, 262215, F4, 24) (dual of [262215, 262036, 25]-code) [i]✔
25Linear OA(4257, 262230, F4, 35) (dual of [262230, 261973, 36]-code) [i]✔
26Linear OA(4260, 262242, F4, 35) (dual of [262242, 261982, 36]-code) [i]✔
27Linear OA(4172, 262181, F4, 25) (dual of [262181, 262009, 26]-code) [i]✔
28Linear OA(4233, 262214, F4, 33) (dual of [262214, 261981, 34]-code) [i]✔
29Linear OA(4234, 262216, F4, 33) (dual of [262216, 261982, 34]-code) [i]✔
30Linear OA(4230, 262212, F4, 32) (dual of [262212, 261982, 33]-code) [i]✔
31Linear OA(4179, 262214, F4, 25) (dual of [262214, 262035, 26]-code) [i]✔
32Linear OA(4180, 262216, F4, 25) (dual of [262216, 262036, 26]-code) [i]✔
33Linear OA(4176, 262212, F4, 24) (dual of [262212, 262036, 25]-code) [i]✔
34Linear OA(4258, 262235, F4, 35) (dual of [262235, 261977, 36]-code) [i]✔
35Linear OA(4259, 262238, F4, 35) (dual of [262238, 261979, 36]-code) [i]✔
36Linear OA(4172, 262190, F4, 25) (dual of [262190, 262018, 26]-code) [i]✔
37Linear OA(4231, 262210, F4, 33) (dual of [262210, 261979, 34]-code) [i]✔
38Linear OA(4232, 262214, F4, 33) (dual of [262214, 261982, 34]-code) [i]✔
39Linear OA(4177, 262210, F4, 25) (dual of [262210, 262033, 26]-code) [i]✔
40Linear OA(4178, 262214, F4, 25) (dual of [262214, 262036, 26]-code) [i]✔
41Linear OA(4256, 262231, F4, 35) (dual of [262231, 261975, 36]-code) [i]✔
42Linear OA(4257, 262236, F4, 35) (dual of [262236, 261979, 36]-code) [i]✔
43Linear OA(4258, 262240, F4, 35) (dual of [262240, 261982, 36]-code) [i]✔
44Linear OA(4200, 262183, F4, 27) (dual of [262183, 261983, 28]-code) [i]✔Construction X4 with Cyclic Codes