Information on Result #714452

Linear OA(818, 63, F8, 11) (dual of [63, 45, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(8169, 561, F8, 57) (dual of [561, 392, 58]-code) [i]Construction X with Cyclic Codes
2Linear OA(8163, 561, F8, 55) (dual of [561, 398, 56]-code) [i]
3Linear OA(8157, 561, F8, 53) (dual of [561, 404, 54]-code) [i]
4Linear OA(8151, 561, F8, 51) (dual of [561, 410, 52]-code) [i]
5Linear OA(8145, 561, F8, 49) (dual of [561, 416, 50]-code) [i]
6Linear OA(8127, 561, F8, 41) (dual of [561, 434, 42]-code) [i]
7Linear OA(8121, 561, F8, 39) (dual of [561, 440, 40]-code) [i]
8Linear OA(8115, 561, F8, 37) (dual of [561, 446, 38]-code) [i]
9Linear OA(8109, 561, F8, 35) (dual of [561, 452, 36]-code) [i]
10Linear OA(8103, 561, F8, 33) (dual of [561, 458, 34]-code) [i]
11Linear OA(8145, 567, F8, 47) (dual of [567, 422, 48]-code) [i]
12Linear OA(8139, 567, F8, 45) (dual of [567, 428, 46]-code) [i]
13Linear OA(821, 73, F8, 11) (dual of [73, 52, 12]-code) [i]✔Construction XX with Cyclic Codes
14Linear OA(820, 70, F8, 11) (dual of [70, 50, 12]-code) [i]✔
15Linear OA(820, 67, F8, 12) (dual of [67, 47, 13]-code) [i]✔
16Linear OA(823, 70, F8, 13) (dual of [70, 47, 14]-code) [i]✔
17Linear OA(826, 73, F8, 14) (dual of [73, 47, 15]-code) [i]✔
18Linear OA(829, 75, F8, 15) (dual of [75, 46, 16]-code) [i]✔
19Linear OA(822, 67, F8, 13) (dual of [67, 45, 14]-code) [i]✔
20Linear OA(828, 73, F8, 15) (dual of [73, 45, 16]-code) [i]✔
21Linear OA(831, 76, F8, 16) (dual of [76, 45, 17]-code) [i]✔
22Linear OA(8167, 4154, F8, 43) (dual of [4154, 3987, 44]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
23Linear OA(8163, 4154, F8, 42) (dual of [4154, 3991, 43]-code) [i]
24Linear OA(8159, 4154, F8, 41) (dual of [4154, 3995, 42]-code) [i]
25Linear OA(8172, 560, F8, 59) (dual of [560, 388, 60]-code) [i]
26Linear OA(8169, 560, F8, 58) (dual of [560, 391, 59]-code) [i]
27Linear OA(8166, 560, F8, 57) (dual of [560, 394, 58]-code) [i]
28Linear OA(8148, 560, F8, 50) (dual of [560, 412, 51]-code) [i]
29Linear OA(8130, 560, F8, 43) (dual of [560, 430, 44]-code) [i]
30Linear OA(8127, 560, F8, 42) (dual of [560, 433, 43]-code) [i]
31Linear OA(8124, 560, F8, 41) (dual of [560, 436, 42]-code) [i]
32Linear OA(8106, 560, F8, 34) (dual of [560, 454, 35]-code) [i]
33Linear OA(8166, 563, F8, 56) (dual of [563, 397, 57]-code) [i]
34Linear OA(8163, 563, F8, 55) (dual of [563, 400, 56]-code) [i]
35Linear OA(8160, 563, F8, 54) (dual of [563, 403, 55]-code) [i]
36Linear OA(8157, 563, F8, 53) (dual of [563, 406, 54]-code) [i]
37Linear OA(8145, 563, F8, 48) (dual of [563, 418, 49]-code) [i]
38Linear OA(8142, 563, F8, 47) (dual of [563, 421, 48]-code) [i]
39Linear OA(8139, 563, F8, 46) (dual of [563, 424, 47]-code) [i]
40Linear OA(8136, 563, F8, 45) (dual of [563, 427, 46]-code) [i]
41Linear OA(8124, 563, F8, 40) (dual of [563, 439, 41]-code) [i]
42Linear OA(8121, 563, F8, 39) (dual of [563, 442, 40]-code) [i]
43Linear OA(8118, 563, F8, 38) (dual of [563, 445, 39]-code) [i]
44Linear OA(8115, 563, F8, 37) (dual of [563, 448, 38]-code) [i]
45Linear OA(8103, 563, F8, 32) (dual of [563, 460, 33]-code) [i]
46Linear OA(8100, 563, F8, 31) (dual of [563, 463, 32]-code) [i]
47Linear OA(897, 563, F8, 30) (dual of [563, 466, 31]-code) [i]