Information on Result #616671

Linear OA(16113, 257, F16, 69) (dual of [257, 144, 70]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,34], and minimum distance d ≥ |{−34,−33,…,34}|+1 = 70 (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(16113, 257, F16, 68) (dual of [257, 144, 69]-code) [i]Strength Reduction
2Linear OA(16113, 257, F16, 67) (dual of [257, 144, 68]-code) [i]
3Linear OA(16113, 257, F16, 66) (dual of [257, 144, 67]-code) [i]
4Linear OA(16114, 258, F16, 69) (dual of [258, 144, 70]-code) [i]Code Embedding in Larger Space
5Linear OA(16111, 255, F16, 67) (dual of [255, 144, 68]-code) [i]Truncation
6Linear OA(16110, 254, F16, 66) (dual of [254, 144, 67]-code) [i]
7Linear OA(16109, 253, F16, 65) (dual of [253, 144, 66]-code) [i]
8Linear OA(16108, 252, F16, 64) (dual of [252, 144, 65]-code) [i]
9Linear OA(16107, 251, F16, 63) (dual of [251, 144, 64]-code) [i]
10Linear OA(16106, 250, F16, 62) (dual of [250, 144, 63]-code) [i]
11Linear OA(16105, 249, F16, 61) (dual of [249, 144, 62]-code) [i]
12Linear OA(4226, 514, F4, 69) (dual of [514, 288, 70]-code) [i]Trace Code
13Linear OA(16120, 271, F16, 69) (dual of [271, 151, 70]-code) [i]VarÅ¡amov–Edel Lengthening
14Linear OA(16121, 278, F16, 69) (dual of [278, 157, 70]-code) [i]
15Linear OA(16118, 262, F16, 71) (dual of [262, 144, 72]-code) [i]✔Construction X with Cyclic Codes
16Linear OA(16122, 270, F16, 69) (dual of [270, 148, 70]-code) [i]✔
17Linear OA(16124, 268, F16, 73) (dual of [268, 144, 74]-code) [i]✔
18Linear OA(16124, 274, F16, 69) (dual of [274, 150, 70]-code) [i]✔
19Linear OA(16125, 277, F16, 69) (dual of [277, 152, 70]-code) [i]✔
20Linear OA(16123, 274, F16, 68) (dual of [274, 151, 69]-code) [i]✔
21Linear OA(16122, 274, F16, 67) (dual of [274, 152, 68]-code) [i]✔
22Linear OA(16130, 274, F16, 75) (dual of [274, 144, 76]-code) [i]✔
23Linear OA(16127, 281, F16, 69) (dual of [281, 154, 70]-code) [i]✔
24Linear OA(16128, 284, F16, 69) (dual of [284, 156, 70]-code) [i]✔
25Linear OA(16126, 281, F16, 68) (dual of [281, 155, 69]-code) [i]✔
26Linear OA(16125, 281, F16, 67) (dual of [281, 156, 68]-code) [i]✔
27Linear OA(16121, 274, F16, 64) (dual of [274, 153, 65]-code) [i]✔
28Linear OA(16120, 274, F16, 63) (dual of [274, 154, 64]-code) [i]✔
29Linear OA(16119, 274, F16, 62) (dual of [274, 155, 63]-code) [i]✔
30Linear OA(16118, 274, F16, 61) (dual of [274, 156, 62]-code) [i]✔
31Linear OA(16130, 290, F16, 69) (dual of [290, 160, 70]-code) [i]✔
32Linear OA(16124, 281, F16, 64) (dual of [281, 157, 65]-code) [i]✔
33Linear OA(16123, 281, F16, 63) (dual of [281, 158, 64]-code) [i]✔
34Linear OA(16122, 281, F16, 62) (dual of [281, 159, 63]-code) [i]✔
35Linear OA(16121, 281, F16, 61) (dual of [281, 160, 62]-code) [i]✔
36Linear OA(16129, 290, F16, 66) (dual of [290, 161, 67]-code) [i]✔
37Linear OA(16130, 294, F16, 66) (dual of [294, 164, 67]-code) [i]✔
38Linear OA(16128, 290, F16, 65) (dual of [290, 162, 66]-code) [i]✔
39Linear OA(16127, 290, F16, 64) (dual of [290, 163, 65]-code) [i]✔
40Linear OA(16123, 276, F16, 66) (dual of [276, 153, 67]-code) [i]✔Construction XX with a Chain of Cyclic Codes
41Linear OA(16126, 283, F16, 66) (dual of [283, 157, 67]-code) [i]✔
42Linear OA(16119, 276, F16, 60) (dual of [276, 157, 61]-code) [i]✔