Information on Result #615173

Linear OA(8100, 512, F8, 38) (dual of [512, 412, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38

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(8119, 532, F8, 38) (dual of [532, 413, 39]-code) [i](u, u+v)-Construction
2Linear OA(8121, 536, F8, 38) (dual of [536, 415, 39]-code) [i]
3Linear OA(8123, 539, F8, 38) (dual of [539, 416, 39]-code) [i]
4Linear OA(8103, 515, F8, 39) (dual of [515, 412, 40]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(8100, 515, F8, 38) (dual of [515, 415, 39]-code) [i]✔
6Linear OA(8108, 520, F8, 41) (dual of [520, 412, 42]-code) [i]✔
7Linear OA(8101, 519, F8, 38) (dual of [519, 418, 39]-code) [i]✔
8Linear OA(8112, 522, F8, 42) (dual of [522, 410, 43]-code) [i]✔
9Linear OA(8113, 525, F8, 42) (dual of [525, 412, 43]-code) [i]✔
10Linear OA(8102, 521, F8, 38) (dual of [521, 419, 39]-code) [i]✔
11Linear OA(8103, 524, F8, 38) (dual of [524, 421, 39]-code) [i]✔
12Linear OA(8118, 530, F8, 43) (dual of [530, 412, 44]-code) [i]✔
13Linear OA(8104, 528, F8, 38) (dual of [528, 424, 39]-code) [i]✔
14Linear OA(8122, 534, F8, 44) (dual of [534, 412, 45]-code) [i]✔
15Linear OA(8106, 533, F8, 38) (dual of [533, 427, 39]-code) [i]✔
16Linear OA(8129, 541, F8, 45) (dual of [541, 412, 46]-code) [i]✔
17Linear OA(8111, 541, F8, 38) (dual of [541, 430, 39]-code) [i]✔
18Linear OA(8134, 546, F8, 46) (dual of [546, 412, 47]-code) [i]✔
19Linear OA(8113, 546, F8, 38) (dual of [546, 433, 39]-code) [i]✔
20Linear OA(8138, 550, F8, 47) (dual of [550, 412, 48]-code) [i]✔
21Linear OA(8114, 550, F8, 38) (dual of [550, 436, 39]-code) [i]✔
22Linear OA(8143, 555, F8, 49) (dual of [555, 412, 50]-code) [i]✔
23Linear OA(8115, 554, F8, 38) (dual of [554, 439, 39]-code) [i]✔
24Linear OA(8148, 560, F8, 50) (dual of [560, 412, 51]-code) [i]✔
25Linear OA(8116, 558, F8, 38) (dual of [558, 442, 39]-code) [i]✔
26Linear OA(8153, 565, F8, 51) (dual of [565, 412, 52]-code) [i]✔
27Linear OA(8118, 563, F8, 38) (dual of [563, 445, 39]-code) [i]✔
28Linear OA(8158, 570, F8, 52) (dual of [570, 412, 53]-code) [i]✔
29Linear OA(8120, 568, F8, 38) (dual of [568, 448, 39]-code) [i]✔
30Linear OA(8137, 547, F8, 47) (dual of [547, 410, 48]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
31Linear OA(8133, 543, F8, 46) (dual of [543, 410, 47]-code) [i]✔
32Linear OA(8128, 540, F8, 45) (dual of [540, 412, 46]-code) [i]✔
33Linear OA(8127, 538, F8, 45) (dual of [538, 411, 46]-code) [i]✔
34Linear OA(8126, 536, F8, 45) (dual of [536, 410, 46]-code) [i]✔
35Linear OA(8125, 540, F8, 44) (dual of [540, 415, 45]-code) [i]✔
36Linear OA(8124, 538, F8, 44) (dual of [538, 414, 45]-code) [i]✔
37Linear OA(8123, 536, F8, 44) (dual of [536, 413, 45]-code) [i]✔
38Linear OA(8127, 543, F8, 44) (dual of [543, 416, 45]-code) [i]✔
39Linear OA(8117, 527, F8, 43) (dual of [527, 410, 44]-code) [i]✔
40Linear OA(8114, 527, F8, 42) (dual of [527, 413, 43]-code) [i]✔
41Linear OA(8105, 530, F8, 38) (dual of [530, 425, 39]-code) [i]✔
42Linear OA(8110, 540, F8, 38) (dual of [540, 430, 39]-code) [i]✔
43Linear OA(8109, 538, F8, 38) (dual of [538, 429, 39]-code) [i]✔
44Linear OA(8108, 536, F8, 38) (dual of [536, 428, 39]-code) [i]✔
45Linear OA(8112, 543, F8, 38) (dual of [543, 431, 39]-code) [i]✔