Information on Result #526952

There is no linear OA(2125, 131, F2, 64) (dual of [131, 6, 65]-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 OA(2125, 131, F2, 65) (dual of [131, 6, 66]-code) [i]Strength Reduction
2No linear OA(2124, 130, F2, 64) (dual of [130, 6, 65]-code) [i]Code Embedding in Larger Space
3No linear OA(2127, 133, F2, 66) (dual of [133, 6, 67]-code) [i]Truncation
4No linear OA(2128, 134, F2, 67) (dual of [134, 6, 68]-code) [i]
5No linear OOA(2126, 131, F2, 2, 65) (dual of [(131, 2), 136, 66]-NRT-code) [i]m-Reduction for OOAs
6No linear OOA(2127, 131, F2, 2, 66) (dual of [(131, 2), 135, 67]-NRT-code) [i]
7No linear OOA(2128, 131, F2, 2, 67) (dual of [(131, 2), 134, 68]-NRT-code) [i]
8No linear OOA(2129, 131, F2, 2, 68) (dual of [(131, 2), 133, 69]-NRT-code) [i]
9No linear OOA(2130, 131, F2, 2, 69) (dual of [(131, 2), 132, 70]-NRT-code) [i]
10No linear OOA(2131, 131, F2, 2, 70) (dual of [(131, 2), 131, 71]-NRT-code) [i]
11No linear OOA(2132, 131, F2, 2, 71) (dual of [(131, 2), 130, 72]-NRT-code) [i]
12No linear OOA(2133, 131, F2, 2, 72) (dual of [(131, 2), 129, 73]-NRT-code) [i]
13No linear OOA(2134, 131, F2, 2, 73) (dual of [(131, 2), 128, 74]-NRT-code) [i]
14No linear OOA(2135, 131, F2, 2, 74) (dual of [(131, 2), 127, 75]-NRT-code) [i]
15No linear OOA(2136, 131, F2, 2, 75) (dual of [(131, 2), 126, 76]-NRT-code) [i]
16No linear OOA(2137, 131, F2, 2, 76) (dual of [(131, 2), 125, 77]-NRT-code) [i]
17No linear OOA(2138, 131, F2, 2, 77) (dual of [(131, 2), 124, 78]-NRT-code) [i]
18No linear OOA(2139, 131, F2, 2, 78) (dual of [(131, 2), 123, 79]-NRT-code) [i]
19No linear OOA(2140, 131, F2, 2, 79) (dual of [(131, 2), 122, 80]-NRT-code) [i]
20No linear OOA(2141, 131, F2, 2, 80) (dual of [(131, 2), 121, 81]-NRT-code) [i]
21No linear OOA(2142, 131, F2, 2, 81) (dual of [(131, 2), 120, 82]-NRT-code) [i]
22No linear OOA(2143, 131, F2, 2, 82) (dual of [(131, 2), 119, 83]-NRT-code) [i]
23No linear OOA(2144, 131, F2, 2, 83) (dual of [(131, 2), 118, 84]-NRT-code) [i]
24No linear OOA(2145, 131, F2, 2, 84) (dual of [(131, 2), 117, 85]-NRT-code) [i]
25No linear OOA(2146, 131, F2, 2, 85) (dual of [(131, 2), 116, 86]-NRT-code) [i]
26No linear OOA(2147, 131, F2, 2, 86) (dual of [(131, 2), 115, 87]-NRT-code) [i]
27No linear OOA(2148, 131, F2, 2, 87) (dual of [(131, 2), 114, 88]-NRT-code) [i]
28No linear OOA(2149, 131, F2, 2, 88) (dual of [(131, 2), 113, 89]-NRT-code) [i]
29No linear OOA(2150, 131, F2, 2, 89) (dual of [(131, 2), 112, 90]-NRT-code) [i]
30No linear OOA(2151, 131, F2, 2, 90) (dual of [(131, 2), 111, 91]-NRT-code) [i]
31No linear OOA(2152, 131, F2, 2, 91) (dual of [(131, 2), 110, 92]-NRT-code) [i]
32No linear OOA(2153, 131, F2, 2, 92) (dual of [(131, 2), 109, 93]-NRT-code) [i]
33No linear OOA(2154, 131, F2, 2, 93) (dual of [(131, 2), 108, 94]-NRT-code) [i]
34No linear OOA(2155, 131, F2, 2, 94) (dual of [(131, 2), 107, 95]-NRT-code) [i]
35No linear OOA(2156, 131, F2, 2, 95) (dual of [(131, 2), 106, 96]-NRT-code) [i]
36No linear OOA(2157, 131, F2, 2, 96) (dual of [(131, 2), 105, 97]-NRT-code) [i]
37No linear OOA(2158, 131, F2, 2, 97) (dual of [(131, 2), 104, 98]-NRT-code) [i]
38No linear OOA(2159, 131, F2, 2, 98) (dual of [(131, 2), 103, 99]-NRT-code) [i]
39No linear OOA(2160, 131, F2, 2, 99) (dual of [(131, 2), 102, 100]-NRT-code) [i]
40No linear OOA(2161, 131, F2, 2, 100) (dual of [(131, 2), 101, 101]-NRT-code) [i]
41No linear OOA(2162, 131, F2, 2, 101) (dual of [(131, 2), 100, 102]-NRT-code) [i]
42No linear OOA(2163, 131, F2, 2, 102) (dual of [(131, 2), 99, 103]-NRT-code) [i]
43No linear OOA(2164, 131, F2, 2, 103) (dual of [(131, 2), 98, 104]-NRT-code) [i]
44No linear OOA(2165, 131, F2, 2, 104) (dual of [(131, 2), 97, 105]-NRT-code) [i]
45No linear OOA(2166, 131, F2, 2, 105) (dual of [(131, 2), 96, 106]-NRT-code) [i]
46No linear OOA(2167, 131, F2, 2, 106) (dual of [(131, 2), 95, 107]-NRT-code) [i]
47No linear OOA(2168, 131, F2, 2, 107) (dual of [(131, 2), 94, 108]-NRT-code) [i]
48No linear OOA(2169, 131, F2, 2, 108) (dual of [(131, 2), 93, 109]-NRT-code) [i]
49No linear OOA(2170, 131, F2, 2, 109) (dual of [(131, 2), 92, 110]-NRT-code) [i]
50No linear OOA(2171, 131, F2, 2, 110) (dual of [(131, 2), 91, 111]-NRT-code) [i]
51No linear OOA(2172, 131, F2, 2, 111) (dual of [(131, 2), 90, 112]-NRT-code) [i]
52No linear OOA(2173, 131, F2, 2, 112) (dual of [(131, 2), 89, 113]-NRT-code) [i]
53No linear OOA(2174, 131, F2, 2, 113) (dual of [(131, 2), 88, 114]-NRT-code) [i]
54No linear OOA(2125, 131, F2, 2, 64) (dual of [(131, 2), 137, 65]-NRT-code) [i]Depth Reduction
55No linear OOA(2125, 131, F2, 3, 64) (dual of [(131, 3), 268, 65]-NRT-code) [i]
56No linear OOA(2125, 131, F2, 4, 64) (dual of [(131, 4), 399, 65]-NRT-code) [i]
57No linear OOA(2125, 131, F2, 5, 64) (dual of [(131, 5), 530, 65]-NRT-code) [i]
58No linear OOA(2125, 131, F2, 6, 64) (dual of [(131, 6), 661, 65]-NRT-code) [i]
59No linear OOA(2125, 131, F2, 7, 64) (dual of [(131, 7), 792, 65]-NRT-code) [i]
60No linear OOA(2125, 131, F2, 8, 64) (dual of [(131, 8), 923, 65]-NRT-code) [i]
61No digital (61, 125, 131)-net over F2 [i]Extracting Embedded Orthogonal Array