Information on Result #714904

Linear OA(8115, 511, F8, 44) (dual of [511, 396, 45]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,43], and designed minimum distance d ≥ |I|+1 = 45

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(8141, 578, F8, 44) (dual of [578, 437, 45]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(8142, 580, F8, 44) (dual of [580, 438, 45]-code) [i]✔
3Linear OA(8123, 525, F8, 46) (dual of [525, 402, 47]-code) [i]✔Construction XX with Cyclic Codes
4Linear OA(8118, 517, F8, 45) (dual of [517, 399, 46]-code) [i]✔
5Linear OA(8127, 527, F8, 47) (dual of [527, 400, 48]-code) [i]✔
6Linear OA(8122, 521, F8, 46) (dual of [521, 399, 47]-code) [i]✔
7Linear OA(8156, 567, F8, 52) (dual of [567, 411, 53]-code) [i]✔
8Linear OA(8155, 562, F8, 52) (dual of [562, 407, 53]-code) [i]✔
9Linear OA(8132, 534, F8, 48) (dual of [534, 402, 49]-code) [i]✔
10Linear OA(8126, 523, F8, 47) (dual of [523, 397, 48]-code) [i]✔
11Linear OA(8160, 568, F8, 53) (dual of [568, 408, 54]-code) [i]✔
12Linear OA(8155, 563, F8, 52) (dual of [563, 408, 53]-code) [i]✔
13Linear OA(8131, 530, F8, 48) (dual of [530, 399, 49]-code) [i]✔
14Linear OA(8149, 547, F8, 52) (dual of [547, 398, 53]-code) [i]✔
15Linear OA(8150, 552, F8, 52) (dual of [552, 402, 53]-code) [i]✔
16Linear OA(8148, 545, F8, 52) (dual of [545, 397, 53]-code) [i]✔
17Linear OA(8147, 542, F8, 52) (dual of [542, 395, 53]-code) [i]✔
18Linear OA(8149, 548, F8, 52) (dual of [548, 399, 53]-code) [i]✔
19Linear OA(8121, 517, F8, 46) (dual of [517, 396, 47]-code) [i]✔
20Linear OA(8125, 521, F8, 47) (dual of [521, 396, 48]-code) [i]✔
21Linear OA(8129, 523, F8, 48) (dual of [523, 394, 49]-code) [i]✔
22Linear OA(8152, 548, F8, 53) (dual of [548, 396, 54]-code) [i]✔
23Linear OA(8129, 525, F8, 48) (dual of [525, 396, 49]-code) [i]✔
24Linear OA(8156, 552, F8, 54) (dual of [552, 396, 55]-code) [i]✔
25Linear OA(8154, 545, F8, 54) (dual of [545, 391, 55]-code) [i]✔
26Linear OA(8153, 542, F8, 54) (dual of [542, 389, 55]-code) [i]✔
27Linear OA(8158, 554, F8, 55) (dual of [554, 396, 56]-code) [i]✔
28Linear OA(8167, 563, F8, 57) (dual of [563, 396, 58]-code) [i]✔
29Linear OA(8162, 558, F8, 56) (dual of [558, 396, 57]-code) [i]✔
30Linear OA(8171, 567, F8, 58) (dual of [567, 396, 59]-code) [i]✔
31Linear OA(8170, 562, F8, 58) (dual of [562, 392, 59]-code) [i]✔
32Linear OA(8168, 557, F8, 58) (dual of [557, 389, 59]-code) [i]✔