Information on Result #615118

Linear OA(8113, 4097, F8, 33) (dual of [4097, 3984, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(8112, 4096, F8, 32) (dual of [4096, 3984, 33]-code) [i]Truncation
2Linear OA(8116, 4109, F8, 33) (dual of [4109, 3993, 34]-code) [i]VarÅ¡amov–Edel Lengthening
3Linear OA(8117, 4129, F8, 33) (dual of [4129, 4012, 34]-code) [i]
4Linear OA(8118, 4180, F8, 33) (dual of [4180, 4062, 34]-code) [i]
5Linear OA(8119, 4295, F8, 33) (dual of [4295, 4176, 34]-code) [i]
6Linear OA(8120, 4498, F8, 33) (dual of [4498, 4378, 34]-code) [i]
7Linear OA(8121, 4772, F8, 33) (dual of [4772, 4651, 34]-code) [i]
8Linear OA(8122, 5085, F8, 33) (dual of [5085, 4963, 34]-code) [i]
9Linear OA(8129, 4114, F8, 33) (dual of [4114, 3985, 34]-code) [i]✔Construction X with Cyclic Codes
10Linear OA(8122, 4106, F8, 35) (dual of [4106, 3984, 36]-code) [i]✔
11Linear OA(8114, 4106, F8, 31) (dual of [4106, 3992, 32]-code) [i]✔
12Linear OA(8116, 4107, F8, 33) (dual of [4107, 3991, 34]-code) [i]✔
13Linear OA(8117, 4109, F8, 33) (dual of [4109, 3992, 34]-code) [i]✔
14Linear OA(8133, 4117, F8, 37) (dual of [4117, 3984, 38]-code) [i]✔
15Linear OA(8120, 4120, F8, 33) (dual of [4120, 4000, 34]-code) [i]✔
16Linear OA(8118, 4111, F8, 32) (dual of [4111, 3993, 33]-code) [i]✔
17Linear OA(8117, 4117, F8, 31) (dual of [4117, 4000, 32]-code) [i]✔
18Linear OA(8144, 4128, F8, 39) (dual of [4128, 3984, 40]-code) [i]✔
19Linear OA(8125, 4126, F8, 33) (dual of [4126, 4001, 34]-code) [i]✔
20Linear OA(8126, 4134, F8, 33) (dual of [4134, 4008, 34]-code) [i]✔
21Linear OA(8124, 4132, F8, 32) (dual of [4132, 4008, 33]-code) [i]✔
22Linear OA(8120, 4128, F8, 31) (dual of [4128, 4008, 32]-code) [i]✔
23Linear OA(8158, 4142, F8, 41) (dual of [4142, 3984, 42]-code) [i]✔
24Linear OA(8156, 4140, F8, 40) (dual of [4140, 3984, 41]-code) [i]✔
25Linear OA(8128, 4144, F8, 33) (dual of [4144, 4016, 34]-code) [i]✔
26Linear OA(8168, 4152, F8, 43) (dual of [4152, 3984, 44]-code) [i]✔
27Linear OA(8123, 4131, F8, 32) (dual of [4131, 4008, 33]-code) [i]✔
28Linear OA(8153, 4130, F8, 40) (dual of [4130, 3977, 41]-code) [i]✔Construction XX with a Chain of Cyclic Codes
29Linear OA(8143, 4120, F8, 39) (dual of [4120, 3977, 40]-code) [i]✔
30Linear OA(8147, 4132, F8, 38) (dual of [4132, 3985, 39]-code) [i]✔
31Linear OA(8132, 4109, F8, 37) (dual of [4109, 3977, 38]-code) [i]✔
32Linear OA(8141, 4130, F8, 37) (dual of [4130, 3989, 38]-code) [i]✔
33Linear OA(8140, 4128, F8, 37) (dual of [4128, 3988, 38]-code) [i]✔
34Linear OA(8139, 4126, F8, 37) (dual of [4126, 3987, 38]-code) [i]✔
35Linear OA(8138, 4124, F8, 37) (dual of [4124, 3986, 38]-code) [i]✔
36Linear OA(8137, 4122, F8, 37) (dual of [4122, 3985, 38]-code) [i]✔
37Linear OA(8127, 4113, F8, 35) (dual of [4113, 3986, 36]-code) [i]✔
38Linear OA(8126, 4111, F8, 35) (dual of [4111, 3985, 36]-code) [i]✔
39Linear OA(8119, 4112, F8, 33) (dual of [4112, 3993, 34]-code) [i]✔
40Linear OA(8116, 4109, F8, 31) (dual of [4109, 3993, 32]-code) [i]✔
41Linear OA(8125, 4129, F8, 33) (dual of [4129, 4004, 34]-code) [i]✔
42Linear OA(8124, 4127, F8, 33) (dual of [4127, 4003, 34]-code) [i]✔
43Linear OA(8123, 4125, F8, 33) (dual of [4125, 4002, 34]-code) [i]✔
44Linear OA(8122, 4123, F8, 33) (dual of [4123, 4001, 34]-code) [i]✔
45Linear OA(8119, 4120, F8, 31) (dual of [4120, 4001, 32]-code) [i]✔