Information on Result #615236

Linear OA(8118, 512, F8, 45) (dual of [512, 394, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,44], 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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(8140, 535, F8, 45) (dual of [535, 395, 46]-code) [i](u, u+v)-Construction
2Linear OA(8142, 539, F8, 45) (dual of [539, 397, 46]-code) [i]
3Linear OA(8145, 543, F8, 45) (dual of [543, 398, 46]-code) [i]
4Linear OA(8121, 515, F8, 46) (dual of [515, 394, 47]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(8118, 515, F8, 45) (dual of [515, 397, 46]-code) [i]✔
6Linear OA(8125, 519, F8, 47) (dual of [519, 394, 48]-code) [i]✔
7Linear OA(8119, 519, F8, 45) (dual of [519, 400, 46]-code) [i]✔
8Linear OA(8131, 525, F8, 49) (dual of [525, 394, 50]-code) [i]✔
9Linear OA(8120, 521, F8, 45) (dual of [521, 401, 46]-code) [i]✔
10Linear OA(8121, 524, F8, 45) (dual of [524, 403, 46]-code) [i]✔
11Linear OA(8136, 530, F8, 50) (dual of [530, 394, 51]-code) [i]✔
12Linear OA(8122, 528, F8, 45) (dual of [528, 406, 46]-code) [i]✔
13Linear OA(8140, 534, F8, 51) (dual of [534, 394, 52]-code) [i]✔
14Linear OA(8125, 534, F8, 45) (dual of [534, 409, 46]-code) [i]✔
15Linear OA(8146, 538, F8, 52) (dual of [538, 392, 53]-code) [i]✔
16Linear OA(8147, 541, F8, 52) (dual of [541, 394, 53]-code) [i]✔
17Linear OA(8129, 541, F8, 45) (dual of [541, 412, 46]-code) [i]✔
18Linear OA(8152, 546, F8, 53) (dual of [546, 394, 54]-code) [i]✔
19Linear OA(8131, 546, F8, 45) (dual of [546, 415, 46]-code) [i]✔
20Linear OA(8156, 550, F8, 54) (dual of [550, 394, 55]-code) [i]✔
21Linear OA(8132, 550, F8, 45) (dual of [550, 418, 46]-code) [i]✔
22Linear OA(8160, 554, F8, 55) (dual of [554, 394, 56]-code) [i]✔
23Linear OA(8133, 554, F8, 45) (dual of [554, 421, 46]-code) [i]✔
24Linear OA(8166, 560, F8, 57) (dual of [560, 394, 58]-code) [i]✔
25Linear OA(8164, 558, F8, 56) (dual of [558, 394, 57]-code) [i]✔
26Linear OA(8134, 558, F8, 45) (dual of [558, 424, 46]-code) [i]✔
27Linear OA(8171, 565, F8, 58) (dual of [565, 394, 59]-code) [i]✔
28Linear OA(8136, 563, F8, 45) (dual of [563, 427, 46]-code) [i]✔
29Linear OA(8140, 570, F8, 45) (dual of [570, 430, 46]-code) [i]✔
30Linear OA(8142, 575, F8, 45) (dual of [575, 433, 46]-code) [i]✔
31Linear OA(8145, 581, F8, 45) (dual of [581, 436, 46]-code) [i]✔
32Linear OA(8151, 543, F8, 53) (dual of [543, 392, 54]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
33Linear OA(8146, 540, F8, 52) (dual of [540, 394, 53]-code) [i]✔
34Linear OA(8145, 538, F8, 52) (dual of [538, 393, 53]-code) [i]✔
35Linear OA(8144, 536, F8, 52) (dual of [536, 392, 53]-code) [i]✔
36Linear OA(8143, 540, F8, 51) (dual of [540, 397, 52]-code) [i]✔
37Linear OA(8142, 538, F8, 51) (dual of [538, 396, 52]-code) [i]✔
38Linear OA(8141, 536, F8, 51) (dual of [536, 395, 52]-code) [i]✔
39Linear OA(8145, 543, F8, 51) (dual of [543, 398, 52]-code) [i]✔
40Linear OA(8135, 527, F8, 50) (dual of [527, 392, 51]-code) [i]✔
41Linear OA(8132, 527, F8, 49) (dual of [527, 395, 50]-code) [i]✔
42Linear OA(8124, 531, F8, 45) (dual of [531, 407, 46]-code) [i]✔
43Linear OA(8128, 540, F8, 45) (dual of [540, 412, 46]-code) [i]✔
44Linear OA(8127, 538, F8, 45) (dual of [538, 411, 46]-code) [i]✔
45Linear OA(8126, 536, F8, 45) (dual of [536, 410, 46]-code) [i]✔
46Linear OA(8130, 543, F8, 45) (dual of [543, 413, 46]-code) [i]✔