Information on Result #2248787

Linear OA(814, 63, F8, 8) (dual of [63, 49, 9]-code), using 2 times truncation based on linear OA(816, 65, F8, 10) (dual of [65, 49, 11]-code), using

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(814, 37, F8, 2, 8) (dual of [(37, 2), 60, 9]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(814, 37, F8, 3, 8) (dual of [(37, 3), 97, 9]-NRT-code) [i]
3Digital (6, 14, 37)-net over F8 [i]
4Linear OA(8109, 568, F8, 34) (dual of [568, 459, 35]-code) [i]Construction XX with Cyclic Codes
5Linear OA(8112, 568, F8, 35) (dual of [568, 456, 36]-code) [i]
6Linear OA(8115, 568, F8, 36) (dual of [568, 453, 37]-code) [i]
7Linear OA(8118, 568, F8, 37) (dual of [568, 450, 38]-code) [i]
8Linear OA(8124, 571, F8, 39) (dual of [571, 447, 40]-code) [i]
9Linear OA(8127, 571, F8, 40) (dual of [571, 444, 41]-code) [i]
10Linear OA(8127, 568, F8, 41) (dual of [568, 441, 42]-code) [i]
11Linear OA(8130, 568, F8, 42) (dual of [568, 438, 43]-code) [i]
12Linear OA(8133, 568, F8, 43) (dual of [568, 435, 44]-code) [i]
13Linear OA(8136, 568, F8, 44) (dual of [568, 432, 45]-code) [i]
14Linear OA(8139, 568, F8, 45) (dual of [568, 429, 46]-code) [i]
15Linear OA(8145, 571, F8, 47) (dual of [571, 426, 48]-code) [i]
16Linear OA(8148, 571, F8, 48) (dual of [571, 423, 49]-code) [i]
17Linear OA(8148, 568, F8, 49) (dual of [568, 420, 50]-code) [i]
18Linear OA(8151, 568, F8, 50) (dual of [568, 417, 51]-code) [i]
19Linear OA(8154, 568, F8, 51) (dual of [568, 414, 52]-code) [i]
20Linear OA(8157, 568, F8, 52) (dual of [568, 411, 53]-code) [i]
21Linear OA(8160, 568, F8, 53) (dual of [568, 408, 54]-code) [i]
22Linear OA(8169, 568, F8, 57) (dual of [568, 399, 58]-code) [i]
23Linear OA(8171, 262206, F8, 30) (dual of [262206, 262035, 31]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
24Linear OA(8165, 262206, F8, 29) (dual of [262206, 262041, 30]-code) [i]
25Linear OA(8159, 262206, F8, 28) (dual of [262206, 262047, 29]-code) [i]
26Linear OA(8153, 262206, F8, 27) (dual of [262206, 262053, 28]-code) [i]
27Linear OA(8147, 262206, F8, 26) (dual of [262206, 262059, 27]-code) [i]
28Linear OA(8170, 32822, F8, 36) (dual of [32822, 32652, 37]-code) [i]
29Linear OA(8165, 32822, F8, 35) (dual of [32822, 32657, 36]-code) [i]
30Linear OA(8160, 32822, F8, 34) (dual of [32822, 32662, 35]-code) [i]
31Linear OA(8150, 32822, F8, 31) (dual of [32822, 32672, 32]-code) [i]
32Linear OA(8145, 32822, F8, 30) (dual of [32822, 32677, 31]-code) [i]
33Linear OA(8140, 32822, F8, 29) (dual of [32822, 32682, 30]-code) [i]
34Linear OA(8135, 32822, F8, 28) (dual of [32822, 32687, 29]-code) [i]
35Linear OA(8130, 32822, F8, 27) (dual of [32822, 32692, 28]-code) [i]
36Linear OA(8125, 32822, F8, 26) (dual of [32822, 32697, 27]-code) [i]
37Linear OA(8115, 32822, F8, 23) (dual of [32822, 32707, 24]-code) [i]
38Linear OA(8110, 32822, F8, 22) (dual of [32822, 32712, 23]-code) [i]
39Linear OA(8105, 32822, F8, 21) (dual of [32822, 32717, 22]-code) [i]
40Linear OA(8100, 32822, F8, 20) (dual of [32822, 32722, 21]-code) [i]
41Linear OA(895, 32822, F8, 19) (dual of [32822, 32727, 20]-code) [i]
42Linear OA(890, 32822, F8, 18) (dual of [32822, 32732, 19]-code) [i]
43Linear OA(8171, 4142, F8, 45) (dual of [4142, 3971, 46]-code) [i]
44Linear OA(8167, 4142, F8, 44) (dual of [4142, 3975, 45]-code) [i]
45Linear OA(8163, 4142, F8, 43) (dual of [4142, 3979, 44]-code) [i]
46Linear OA(8159, 4142, F8, 42) (dual of [4142, 3983, 43]-code) [i]
47Linear OA(8151, 4142, F8, 39) (dual of [4142, 3991, 40]-code) [i]
48Linear OA(8147, 4142, F8, 38) (dual of [4142, 3995, 39]-code) [i]
49Linear OA(8143, 4142, F8, 37) (dual of [4142, 3999, 38]-code) [i]
50Linear OA(8139, 4142, F8, 36) (dual of [4142, 4003, 37]-code) [i]
51Linear OA(8135, 4142, F8, 35) (dual of [4142, 4007, 36]-code) [i]
52Linear OA(8131, 4142, F8, 34) (dual of [4142, 4011, 35]-code) [i]
53Linear OA(8171, 550, F8, 60) (dual of [550, 379, 61]-code) [i]
54Linear OA(8168, 550, F8, 59) (dual of [550, 382, 60]-code) [i]
55Linear OA(8165, 550, F8, 58) (dual of [550, 385, 59]-code) [i]
56Linear OA(8159, 550, F8, 55) (dual of [550, 391, 56]-code) [i]
57Linear OA(8156, 550, F8, 54) (dual of [550, 394, 55]-code) [i]
58Linear OA(8153, 550, F8, 53) (dual of [550, 397, 54]-code) [i]
59Linear OA(8150, 550, F8, 52) (dual of [550, 400, 53]-code) [i]
60Linear OA(8147, 550, F8, 51) (dual of [550, 403, 52]-code) [i]
61Linear OA(8144, 550, F8, 50) (dual of [550, 406, 51]-code) [i]
62Linear OA(8138, 550, F8, 47) (dual of [550, 412, 48]-code) [i]
63Linear OA(8135, 550, F8, 46) (dual of [550, 415, 47]-code) [i]
64Linear OA(8132, 550, F8, 45) (dual of [550, 418, 46]-code) [i]
65Linear OA(8129, 550, F8, 44) (dual of [550, 421, 45]-code) [i]
66Linear OA(8126, 550, F8, 43) (dual of [550, 424, 44]-code) [i]
67Linear OA(8123, 550, F8, 42) (dual of [550, 427, 43]-code) [i]
68Linear OA(8117, 550, F8, 39) (dual of [550, 433, 40]-code) [i]
69Linear OA(8114, 550, F8, 38) (dual of [550, 436, 39]-code) [i]
70Linear OA(8111, 550, F8, 37) (dual of [550, 439, 38]-code) [i]
71Linear OA(8108, 550, F8, 36) (dual of [550, 442, 37]-code) [i]
72Linear OA(8105, 550, F8, 35) (dual of [550, 445, 36]-code) [i]
73Linear OA(8102, 550, F8, 34) (dual of [550, 448, 35]-code) [i]
74Linear OA(896, 550, F8, 31) (dual of [550, 454, 32]-code) [i]
75Linear OA(893, 550, F8, 30) (dual of [550, 457, 31]-code) [i]
76Linear OA(890, 550, F8, 29) (dual of [550, 460, 30]-code) [i]
77Linear OA(887, 550, F8, 28) (dual of [550, 463, 29]-code) [i]
78Linear OA(884, 550, F8, 27) (dual of [550, 466, 28]-code) [i]
79Linear OA(881, 550, F8, 26) (dual of [550, 469, 27]-code) [i]
80Linear OA(875, 550, F8, 23) (dual of [550, 475, 24]-code) [i]
81Linear OOA(814, 31, F8, 2, 8) (dual of [(31, 2), 48, 9]-NRT-code) [i]OOA Folding
82Linear OOA(814, 21, F8, 3, 8) (dual of [(21, 3), 49, 9]-NRT-code) [i]