Information on Result #526872

There is no linear OA(293, 99, F2, 48) (dual of [99, 6, 49]-code), because Griesmer bound

Mode: Bound (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
1No linear OOA(294, 99, F2, 2, 49) (dual of [(99, 2), 104, 50]-NRT-code) [i]m-Reduction for OOAs
2No linear OOA(295, 99, F2, 2, 50) (dual of [(99, 2), 103, 51]-NRT-code) [i]
3No linear OOA(296, 99, F2, 2, 51) (dual of [(99, 2), 102, 52]-NRT-code) [i]
4No linear OOA(297, 99, F2, 2, 52) (dual of [(99, 2), 101, 53]-NRT-code) [i]
5No linear OOA(298, 99, F2, 2, 53) (dual of [(99, 2), 100, 54]-NRT-code) [i]
6No linear OOA(299, 99, F2, 2, 54) (dual of [(99, 2), 99, 55]-NRT-code) [i]
7No linear OOA(2100, 99, F2, 2, 55) (dual of [(99, 2), 98, 56]-NRT-code) [i]
8No linear OOA(2101, 99, F2, 2, 56) (dual of [(99, 2), 97, 57]-NRT-code) [i]
9No linear OOA(2102, 99, F2, 2, 57) (dual of [(99, 2), 96, 58]-NRT-code) [i]
10No linear OOA(2103, 99, F2, 2, 58) (dual of [(99, 2), 95, 59]-NRT-code) [i]
11No linear OOA(2104, 99, F2, 2, 59) (dual of [(99, 2), 94, 60]-NRT-code) [i]
12No linear OOA(2105, 99, F2, 2, 60) (dual of [(99, 2), 93, 61]-NRT-code) [i]
13No linear OOA(2106, 99, F2, 2, 61) (dual of [(99, 2), 92, 62]-NRT-code) [i]
14No linear OOA(2107, 99, F2, 2, 62) (dual of [(99, 2), 91, 63]-NRT-code) [i]
15No linear OOA(2108, 99, F2, 2, 63) (dual of [(99, 2), 90, 64]-NRT-code) [i]
16No linear OOA(2109, 99, F2, 2, 64) (dual of [(99, 2), 89, 65]-NRT-code) [i]
17No linear OOA(2110, 99, F2, 2, 65) (dual of [(99, 2), 88, 66]-NRT-code) [i]
18No linear OOA(2111, 99, F2, 2, 66) (dual of [(99, 2), 87, 67]-NRT-code) [i]
19No linear OOA(2112, 99, F2, 2, 67) (dual of [(99, 2), 86, 68]-NRT-code) [i]
20No linear OOA(2113, 99, F2, 2, 68) (dual of [(99, 2), 85, 69]-NRT-code) [i]
21No linear OOA(2114, 99, F2, 2, 69) (dual of [(99, 2), 84, 70]-NRT-code) [i]
22No linear OOA(2115, 99, F2, 2, 70) (dual of [(99, 2), 83, 71]-NRT-code) [i]
23No linear OOA(2116, 99, F2, 2, 71) (dual of [(99, 2), 82, 72]-NRT-code) [i]
24No linear OOA(2117, 99, F2, 2, 72) (dual of [(99, 2), 81, 73]-NRT-code) [i]
25No linear OOA(2118, 99, F2, 2, 73) (dual of [(99, 2), 80, 74]-NRT-code) [i]
26No linear OOA(2119, 99, F2, 2, 74) (dual of [(99, 2), 79, 75]-NRT-code) [i]
27No linear OOA(2120, 99, F2, 2, 75) (dual of [(99, 2), 78, 76]-NRT-code) [i]
28No linear OOA(2121, 99, F2, 2, 76) (dual of [(99, 2), 77, 77]-NRT-code) [i]
29No linear OOA(2122, 99, F2, 2, 77) (dual of [(99, 2), 76, 78]-NRT-code) [i]
30No linear OOA(2123, 99, F2, 2, 78) (dual of [(99, 2), 75, 79]-NRT-code) [i]
31No linear OOA(2124, 99, F2, 2, 79) (dual of [(99, 2), 74, 80]-NRT-code) [i]
32No linear OOA(2125, 99, F2, 2, 80) (dual of [(99, 2), 73, 81]-NRT-code) [i]
33No linear OOA(2126, 99, F2, 2, 81) (dual of [(99, 2), 72, 82]-NRT-code) [i]
34No linear OOA(2127, 99, F2, 2, 82) (dual of [(99, 2), 71, 83]-NRT-code) [i]
35No linear OOA(2128, 99, F2, 2, 83) (dual of [(99, 2), 70, 84]-NRT-code) [i]
36No linear OOA(2129, 99, F2, 2, 84) (dual of [(99, 2), 69, 85]-NRT-code) [i]
37No linear OOA(2130, 99, F2, 2, 85) (dual of [(99, 2), 68, 86]-NRT-code) [i]
38No linear OOA(293, 99, F2, 2, 48) (dual of [(99, 2), 105, 49]-NRT-code) [i]Depth Reduction
39No linear OOA(293, 99, F2, 3, 48) (dual of [(99, 3), 204, 49]-NRT-code) [i]
40No linear OOA(293, 99, F2, 4, 48) (dual of [(99, 4), 303, 49]-NRT-code) [i]
41No linear OOA(293, 99, F2, 5, 48) (dual of [(99, 5), 402, 49]-NRT-code) [i]
42No linear OOA(293, 99, F2, 6, 48) (dual of [(99, 6), 501, 49]-NRT-code) [i]
43No linear OOA(293, 99, F2, 7, 48) (dual of [(99, 7), 600, 49]-NRT-code) [i]
44No linear OOA(293, 99, F2, 8, 48) (dual of [(99, 8), 699, 49]-NRT-code) [i]
45No digital (45, 93, 99)-net over F2 [i]Extracting Embedded Orthogonal Array