Information on Result #615097

Linear OA(882, 512, F8, 31) (dual of [512, 430, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31

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(897, 528, F8, 31) (dual of [528, 431, 32]-code) [i](u, u+v)-Construction
2Linear OA(898, 530, F8, 31) (dual of [530, 432, 32]-code) [i]
3Linear OA(899, 532, F8, 31) (dual of [532, 433, 32]-code) [i]
4Linear OA(8100, 536, F8, 31) (dual of [536, 436, 32]-code) [i]
5Linear OA(8101, 539, F8, 31) (dual of [539, 438, 32]-code) [i]
6Linear OA(886, 516, F8, 33) (dual of [516, 430, 34]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(882, 515, F8, 31) (dual of [515, 433, 32]-code) [i]✔
8Linear OA(890, 520, F8, 34) (dual of [520, 430, 35]-code) [i]✔
9Linear OA(883, 519, F8, 31) (dual of [519, 436, 32]-code) [i]✔
10Linear OA(895, 525, F8, 35) (dual of [525, 430, 36]-code) [i]✔
11Linear OA(884, 521, F8, 31) (dual of [521, 437, 32]-code) [i]✔
12Linear OA(885, 524, F8, 31) (dual of [524, 439, 32]-code) [i]✔
13Linear OA(8100, 530, F8, 36) (dual of [530, 430, 37]-code) [i]✔
14Linear OA(886, 528, F8, 31) (dual of [528, 442, 32]-code) [i]✔
15Linear OA(8104, 534, F8, 37) (dual of [534, 430, 38]-code) [i]✔
16Linear OA(888, 533, F8, 31) (dual of [533, 445, 32]-code) [i]✔
17Linear OA(8111, 541, F8, 38) (dual of [541, 430, 39]-code) [i]✔
18Linear OA(889, 537, F8, 31) (dual of [537, 448, 32]-code) [i]✔
19Linear OA(895, 546, F8, 31) (dual of [546, 451, 32]-code) [i]✔
20Linear OA(8121, 551, F8, 41) (dual of [551, 430, 42]-code) [i]✔
21Linear OA(896, 550, F8, 31) (dual of [550, 454, 32]-code) [i]✔
22Linear OA(8125, 555, F8, 42) (dual of [555, 430, 43]-code) [i]✔
23Linear OA(897, 554, F8, 31) (dual of [554, 457, 32]-code) [i]✔
24Linear OA(8130, 560, F8, 43) (dual of [560, 430, 44]-code) [i]✔
25Linear OA(898, 558, F8, 31) (dual of [558, 460, 32]-code) [i]✔
26Linear OA(8135, 565, F8, 44) (dual of [565, 430, 45]-code) [i]✔
27Linear OA(8100, 563, F8, 31) (dual of [563, 463, 32]-code) [i]✔
28Linear OA(8140, 570, F8, 45) (dual of [570, 430, 46]-code) [i]✔
29Linear OA(8145, 575, F8, 46) (dual of [575, 430, 47]-code) [i]✔
30Linear OA(8119, 547, F8, 40) (dual of [547, 428, 41]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
31Linear OA(8114, 544, F8, 39) (dual of [544, 430, 40]-code) [i]✔
32Linear OA(8113, 542, F8, 39) (dual of [542, 429, 40]-code) [i]✔
33Linear OA(8110, 540, F8, 38) (dual of [540, 430, 39]-code) [i]✔
34Linear OA(8109, 538, F8, 38) (dual of [538, 429, 39]-code) [i]✔
35Linear OA(8108, 536, F8, 38) (dual of [536, 428, 39]-code) [i]✔
36Linear OA(8107, 540, F8, 37) (dual of [540, 433, 38]-code) [i]✔
37Linear OA(8106, 538, F8, 37) (dual of [538, 432, 38]-code) [i]✔
38Linear OA(8105, 536, F8, 37) (dual of [536, 431, 38]-code) [i]✔
39Linear OA(8109, 543, F8, 37) (dual of [543, 434, 38]-code) [i]✔
40Linear OA(899, 527, F8, 36) (dual of [527, 428, 37]-code) [i]✔
41Linear OA(896, 527, F8, 35) (dual of [527, 431, 36]-code) [i]✔
42Linear OA(887, 530, F8, 31) (dual of [530, 443, 32]-code) [i]✔
43Linear OA(893, 544, F8, 31) (dual of [544, 451, 32]-code) [i]✔
44Linear OA(892, 542, F8, 31) (dual of [542, 450, 32]-code) [i]✔
45Linear OA(891, 540, F8, 31) (dual of [540, 449, 32]-code) [i]✔
46Linear OA(895, 547, F8, 31) (dual of [547, 452, 32]-code) [i]✔