Information on Result #615242

Linear OA(8121, 512, F8, 46) (dual of [512, 391, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,45], 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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(8144, 536, F8, 46) (dual of [536, 392, 47]-code) [i](u, u+v)-Construction
2Linear OA(8146, 540, F8, 46) (dual of [540, 394, 47]-code) [i]
3Linear OA(8124, 515, F8, 47) (dual of [515, 391, 48]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(8121, 515, F8, 46) (dual of [515, 394, 47]-code) [i]✔
5Linear OA(8129, 520, F8, 49) (dual of [520, 391, 50]-code) [i]✔
6Linear OA(8122, 519, F8, 46) (dual of [519, 397, 47]-code) [i]✔
7Linear OA(8133, 522, F8, 50) (dual of [522, 389, 51]-code) [i]✔
8Linear OA(8134, 525, F8, 50) (dual of [525, 391, 51]-code) [i]✔
9Linear OA(8123, 521, F8, 46) (dual of [521, 398, 47]-code) [i]✔
10Linear OA(8124, 524, F8, 46) (dual of [524, 400, 47]-code) [i]✔
11Linear OA(8139, 530, F8, 51) (dual of [530, 391, 52]-code) [i]✔
12Linear OA(8125, 528, F8, 46) (dual of [528, 403, 47]-code) [i]✔
13Linear OA(8143, 534, F8, 52) (dual of [534, 391, 53]-code) [i]✔
14Linear OA(8127, 533, F8, 46) (dual of [533, 406, 47]-code) [i]✔
15Linear OA(8150, 541, F8, 53) (dual of [541, 391, 54]-code) [i]✔
16Linear OA(8131, 538, F8, 46) (dual of [538, 407, 47]-code) [i]✔
17Linear OA(8132, 541, F8, 46) (dual of [541, 409, 47]-code) [i]✔
18Linear OA(8155, 546, F8, 54) (dual of [546, 391, 55]-code) [i]✔
19Linear OA(8134, 546, F8, 46) (dual of [546, 412, 47]-code) [i]✔
20Linear OA(8159, 550, F8, 55) (dual of [550, 391, 56]-code) [i]✔
21Linear OA(8135, 550, F8, 46) (dual of [550, 415, 47]-code) [i]✔
22Linear OA(8164, 555, F8, 57) (dual of [555, 391, 58]-code) [i]✔
23Linear OA(8136, 554, F8, 46) (dual of [554, 418, 47]-code) [i]✔
24Linear OA(8169, 560, F8, 58) (dual of [560, 391, 59]-code) [i]✔
25Linear OA(8137, 558, F8, 46) (dual of [558, 421, 47]-code) [i]✔
26Linear OA(8139, 563, F8, 46) (dual of [563, 424, 47]-code) [i]✔
27Linear OA(8141, 568, F8, 46) (dual of [568, 427, 47]-code) [i]✔
28Linear OA(8145, 575, F8, 46) (dual of [575, 430, 47]-code) [i]✔
29Linear OA(8154, 543, F8, 54) (dual of [543, 389, 55]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
30Linear OA(8149, 540, F8, 53) (dual of [540, 391, 54]-code) [i]✔
31Linear OA(8148, 538, F8, 53) (dual of [538, 390, 54]-code) [i]✔
32Linear OA(8147, 536, F8, 53) (dual of [536, 389, 54]-code) [i]✔
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(8148, 543, F8, 52) (dual of [543, 395, 53]-code) [i]✔
37Linear OA(8138, 527, F8, 51) (dual of [527, 389, 52]-code) [i]✔
38Linear OA(8135, 527, F8, 50) (dual of [527, 392, 51]-code) [i]✔
39Linear OA(8126, 530, F8, 46) (dual of [530, 404, 47]-code) [i]✔
40Linear OA(8131, 540, F8, 46) (dual of [540, 409, 47]-code) [i]✔
41Linear OA(8130, 538, F8, 46) (dual of [538, 408, 47]-code) [i]✔
42Linear OA(8129, 536, F8, 46) (dual of [536, 407, 47]-code) [i]✔
43Linear OA(8133, 543, F8, 46) (dual of [543, 410, 47]-code) [i]✔