Information on Result #714908

Linear OA(8118, 511, F8, 45) (dual of [511, 393, 46]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(8144, 578, F8, 45) (dual of [578, 434, 46]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(8145, 580, F8, 45) (dual of [580, 435, 46]-code) [i]✔
3Linear OA(8126, 525, F8, 47) (dual of [525, 399, 48]-code) [i]✔Construction XX with Cyclic Codes
4Linear OA(8121, 517, F8, 46) (dual of [517, 396, 47]-code) [i]✔
5Linear OA(8130, 527, F8, 48) (dual of [527, 397, 49]-code) [i]✔
6Linear OA(8125, 521, F8, 47) (dual of [521, 396, 48]-code) [i]✔
7Linear OA(8159, 567, F8, 53) (dual of [567, 408, 54]-code) [i]✔
8Linear OA(8129, 523, F8, 48) (dual of [523, 394, 49]-code) [i]✔
9Linear OA(8156, 561, F8, 53) (dual of [561, 405, 54]-code) [i]✔
10Linear OA(8153, 551, F8, 53) (dual of [551, 398, 54]-code) [i]✔
11Linear OA(8152, 547, F8, 53) (dual of [547, 395, 54]-code) [i]✔
12Linear OA(8153, 552, F8, 53) (dual of [552, 399, 54]-code) [i]✔
13Linear OA(8151, 545, F8, 53) (dual of [545, 394, 54]-code) [i]✔
14Linear OA(8150, 542, F8, 53) (dual of [542, 392, 54]-code) [i]✔
15Linear OA(8152, 548, F8, 53) (dual of [548, 396, 54]-code) [i]✔
16Linear OA(8124, 517, F8, 47) (dual of [517, 393, 48]-code) [i]✔
17Linear OA(8128, 521, F8, 48) (dual of [521, 393, 49]-code) [i]✔
18Linear OA(8155, 548, F8, 54) (dual of [548, 393, 55]-code) [i]✔
19Linear OA(8159, 552, F8, 55) (dual of [552, 393, 56]-code) [i]✔
20Linear OA(8156, 549, F8, 55) (dual of [549, 393, 56]-code) [i]✔
21Linear OA(8165, 558, F8, 57) (dual of [558, 393, 58]-code) [i]✔
22Linear OA(8163, 556, F8, 56) (dual of [556, 393, 57]-code) [i]✔
23Linear OA(8162, 548, F8, 57) (dual of [548, 386, 58]-code) [i]✔
24Linear OA(8161, 554, F8, 56) (dual of [554, 393, 57]-code) [i]✔
25Linear OA(8170, 563, F8, 58) (dual of [563, 393, 59]-code) [i]✔
26Linear OA(8173, 562, F8, 59) (dual of [562, 389, 60]-code) [i]✔
27Linear OA(8171, 557, F8, 59) (dual of [557, 386, 60]-code) [i]✔