Information on Result #687956

Linear OA(8127, 512, F8, 49) (dual of [512, 385, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(8130, 515, F8, 50) (dual of [515, 385, 51]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(8128, 516, F8, 49) (dual of [516, 388, 50]-code) [i]✔
3Linear OA(8129, 520, F8, 49) (dual of [520, 391, 50]-code) [i]✔
4Linear OA(8138, 521, F8, 52) (dual of [521, 383, 53]-code) [i]✔
5Linear OA(8139, 524, F8, 52) (dual of [524, 385, 53]-code) [i]✔
6Linear OA(8131, 525, F8, 49) (dual of [525, 394, 50]-code) [i]✔
7Linear OA(8133, 530, F8, 49) (dual of [530, 397, 50]-code) [i]✔
8Linear OA(8131, 528, F8, 48) (dual of [528, 397, 49]-code) [i]✔
9Linear OA(8148, 533, F8, 54) (dual of [533, 385, 55]-code) [i]✔
10Linear OA(8134, 534, F8, 49) (dual of [534, 400, 50]-code) [i]✔
11Linear OA(8137, 538, F8, 49) (dual of [538, 401, 50]-code) [i]✔
12Linear OA(8138, 541, F8, 49) (dual of [541, 403, 50]-code) [i]✔
13Linear OA(8134, 537, F8, 48) (dual of [537, 403, 49]-code) [i]✔
14Linear OA(8161, 546, F8, 57) (dual of [546, 385, 58]-code) [i]✔
15Linear OA(8159, 544, F8, 56) (dual of [544, 385, 57]-code) [i]✔
16Linear OA(8140, 546, F8, 49) (dual of [546, 406, 50]-code) [i]✔
17Linear OA(8138, 544, F8, 48) (dual of [544, 406, 49]-code) [i]✔
18Linear OA(8165, 550, F8, 58) (dual of [550, 385, 59]-code) [i]✔
19Linear OA(8169, 554, F8, 59) (dual of [554, 385, 60]-code) [i]✔
20Linear OA(8143, 555, F8, 49) (dual of [555, 412, 50]-code) [i]✔
21Linear OA(8173, 558, F8, 60) (dual of [558, 385, 61]-code) [i]✔
22Linear OA(8147, 565, F8, 49) (dual of [565, 418, 50]-code) [i]✔
23Linear OA(8145, 563, F8, 48) (dual of [563, 418, 49]-code) [i]✔
24Linear OA(8151, 575, F8, 49) (dual of [575, 424, 50]-code) [i]✔
25Linear OA(8149, 573, F8, 48) (dual of [573, 424, 49]-code) [i]✔
26Linear OA(8160, 543, F8, 57) (dual of [543, 383, 58]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
27Linear OA(8158, 543, F8, 56) (dual of [543, 385, 57]-code) [i]✔
28Linear OA(8157, 541, F8, 56) (dual of [541, 384, 57]-code) [i]✔
29Linear OA(8156, 539, F8, 56) (dual of [539, 383, 57]-code) [i]✔
30Linear OA(8156, 544, F8, 55) (dual of [544, 388, 56]-code) [i]✔
31Linear OA(8155, 542, F8, 55) (dual of [542, 387, 56]-code) [i]✔
32Linear OA(8147, 530, F8, 54) (dual of [530, 383, 55]-code) [i]✔
33Linear OA(8152, 540, F8, 54) (dual of [540, 388, 55]-code) [i]✔
34Linear OA(8151, 538, F8, 54) (dual of [538, 387, 55]-code) [i]✔
35Linear OA(8150, 536, F8, 54) (dual of [536, 386, 55]-code) [i]✔
36Linear OA(8154, 543, F8, 54) (dual of [543, 389, 55]-code) [i]✔
37Linear OA(8141, 527, F8, 52) (dual of [527, 386, 53]-code) [i]✔
38Linear OA(8132, 527, F8, 49) (dual of [527, 395, 50]-code) [i]✔
39Linear OA(8132, 530, F8, 48) (dual of [530, 398, 49]-code) [i]✔
40Linear OA(8137, 540, F8, 49) (dual of [540, 403, 50]-code) [i]✔
41Linear OA(8136, 538, F8, 49) (dual of [538, 402, 50]-code) [i]✔
42Linear OA(8135, 536, F8, 49) (dual of [536, 401, 50]-code) [i]✔
43Linear OA(8139, 543, F8, 49) (dual of [543, 404, 50]-code) [i]✔
44Linear OA(8137, 543, F8, 48) (dual of [543, 406, 49]-code) [i]✔
45Linear OA(8136, 541, F8, 48) (dual of [541, 405, 49]-code) [i]✔
46Linear OA(8135, 539, F8, 48) (dual of [539, 404, 49]-code) [i]✔
47Linear OA(8140, 547, F8, 48) (dual of [547, 407, 49]-code) [i]✔
48Linear OA(8136, 543, F8, 47) (dual of [543, 407, 48]-code) [i]✔
49Linear OOA(8127, 256, F8, 2, 49) (dual of [(256, 2), 385, 50]-NRT-code) [i]OOA Folding