Information on Result #613047

Linear OA(4217, 262145, F4, 33) (dual of [262145, 261928, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, 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(4216, 262144, F4, 32) (dual of [262144, 261928, 33]-code) [i]Truncation
2Linear OA(4237, 262167, F4, 33) (dual of [262167, 261930, 34]-code) [i](u, u+v)-Construction
3Linear OA(4238, 262169, F4, 33) (dual of [262169, 261931, 34]-code) [i]
4Linear OA(4239, 262171, F4, 33) (dual of [262171, 261932, 34]-code) [i]
5Linear OA(4233, 262162, F4, 33) (dual of [262162, 261929, 34]-code) [i]✔Construction X with Cyclic Codes
6Linear OA(4236, 262164, F4, 35) (dual of [262164, 261928, 36]-code) [i]✔
7Linear OA(4218, 262164, F4, 31) (dual of [262164, 261946, 32]-code) [i]✔
8Linear OA(4220, 262151, F4, 33) (dual of [262151, 261931, 34]-code) [i]✔
9Linear OA(4221, 262162, F4, 33) (dual of [262162, 261941, 34]-code) [i]✔
10Linear OA(4222, 262168, F4, 33) (dual of [262168, 261946, 34]-code) [i]✔
11Linear OA(4220, 262166, F4, 32) (dual of [262166, 261946, 33]-code) [i]✔
12Linear OA(4258, 262186, F4, 37) (dual of [262186, 261928, 38]-code) [i]✔
13Linear OA(4227, 262191, F4, 33) (dual of [262191, 261964, 34]-code) [i]✔
14Linear OA(4224, 262188, F4, 32) (dual of [262188, 261964, 33]-code) [i]✔
15Linear OA(4222, 262186, F4, 31) (dual of [262186, 261964, 32]-code) [i]✔
16Linear OA(4233, 262209, F4, 33) (dual of [262209, 261976, 34]-code) [i]✔
17Linear OA(4234, 262213, F4, 33) (dual of [262213, 261979, 34]-code) [i]✔
18Linear OA(4235, 262217, F4, 33) (dual of [262217, 261982, 34]-code) [i]✔
19Linear OA(4230, 262209, F4, 32) (dual of [262209, 261979, 33]-code) [i]✔
20Linear OA(4233, 262215, F4, 32) (dual of [262215, 261982, 33]-code) [i]✔
21Linear OA(4227, 262209, F4, 31) (dual of [262209, 261982, 32]-code) [i]✔
22Linear OA(4226, 262181, F4, 33) (dual of [262181, 261955, 34]-code) [i]✔
23Linear OA(4233, 262214, F4, 33) (dual of [262214, 261981, 34]-code) [i]✔
24Linear OA(4234, 262216, F4, 33) (dual of [262216, 261982, 34]-code) [i]✔
25Linear OA(4230, 262212, F4, 32) (dual of [262212, 261982, 33]-code) [i]✔
26Linear OA(4226, 262190, F4, 33) (dual of [262190, 261964, 34]-code) [i]✔
27Linear OA(4231, 262210, F4, 33) (dual of [262210, 261979, 34]-code) [i]✔
28Linear OA(4232, 262214, F4, 33) (dual of [262214, 261982, 34]-code) [i]✔
29Linear OA(4254, 262183, F4, 35) (dual of [262183, 261929, 36]-code) [i]✔Construction X4 with Cyclic Codes
30Linear OOA(4217, 16384, F4, 33, 33) (dual of [(16384, 33), 540455, 34]-NRT-code) [i]OOA Folding and Stacking with Additional Row