Information on Result #526951
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:
Result | This result only | Method | ||
---|---|---|---|---|
1 | No linear OA(2123, 128, F2, 65) (dual of [128, 5, 66]-code) | [i] | Strength Reduction | |
2 | No linear OA(2122, 127, F2, 64) (dual of [127, 5, 65]-code) | [i] | Code Embedding in Larger Space | |
3 | No linear OOA(2124, 128, F2, 2, 65) (dual of [(128, 2), 132, 66]-NRT-code) | [i] | m-Reduction for OOAs | |
4 | No linear OOA(2125, 128, F2, 2, 66) (dual of [(128, 2), 131, 67]-NRT-code) | [i] | ||
5 | No linear OOA(2126, 128, F2, 2, 67) (dual of [(128, 2), 130, 68]-NRT-code) | [i] | ||
6 | No linear OOA(2127, 128, F2, 2, 68) (dual of [(128, 2), 129, 69]-NRT-code) | [i] | ||
7 | No linear OOA(2128, 128, F2, 2, 69) (dual of [(128, 2), 128, 70]-NRT-code) | [i] | ||
8 | No linear OOA(2129, 128, F2, 2, 70) (dual of [(128, 2), 127, 71]-NRT-code) | [i] | ||
9 | No linear OOA(2130, 128, F2, 2, 71) (dual of [(128, 2), 126, 72]-NRT-code) | [i] | ||
10 | No linear OOA(2131, 128, F2, 2, 72) (dual of [(128, 2), 125, 73]-NRT-code) | [i] | ||
11 | No linear OOA(2132, 128, F2, 2, 73) (dual of [(128, 2), 124, 74]-NRT-code) | [i] | ||
12 | No linear OOA(2133, 128, F2, 2, 74) (dual of [(128, 2), 123, 75]-NRT-code) | [i] | ||
13 | No linear OOA(2134, 128, F2, 2, 75) (dual of [(128, 2), 122, 76]-NRT-code) | [i] | ||
14 | No linear OOA(2135, 128, F2, 2, 76) (dual of [(128, 2), 121, 77]-NRT-code) | [i] | ||
15 | No linear OOA(2136, 128, F2, 2, 77) (dual of [(128, 2), 120, 78]-NRT-code) | [i] | ||
16 | No linear OOA(2137, 128, F2, 2, 78) (dual of [(128, 2), 119, 79]-NRT-code) | [i] | ||
17 | No linear OOA(2138, 128, F2, 2, 79) (dual of [(128, 2), 118, 80]-NRT-code) | [i] | ||
18 | No linear OOA(2139, 128, F2, 2, 80) (dual of [(128, 2), 117, 81]-NRT-code) | [i] | ||
19 | No linear OOA(2140, 128, F2, 2, 81) (dual of [(128, 2), 116, 82]-NRT-code) | [i] | ||
20 | No linear OOA(2141, 128, F2, 2, 82) (dual of [(128, 2), 115, 83]-NRT-code) | [i] | ||
21 | No linear OOA(2142, 128, F2, 2, 83) (dual of [(128, 2), 114, 84]-NRT-code) | [i] | ||
22 | No linear OOA(2143, 128, F2, 2, 84) (dual of [(128, 2), 113, 85]-NRT-code) | [i] | ||
23 | No linear OOA(2144, 128, F2, 2, 85) (dual of [(128, 2), 112, 86]-NRT-code) | [i] | ||
24 | No linear OOA(2145, 128, F2, 2, 86) (dual of [(128, 2), 111, 87]-NRT-code) | [i] | ||
25 | No linear OOA(2146, 128, F2, 2, 87) (dual of [(128, 2), 110, 88]-NRT-code) | [i] | ||
26 | No linear OOA(2147, 128, F2, 2, 88) (dual of [(128, 2), 109, 89]-NRT-code) | [i] | ||
27 | No linear OOA(2148, 128, F2, 2, 89) (dual of [(128, 2), 108, 90]-NRT-code) | [i] | ||
28 | No linear OOA(2149, 128, F2, 2, 90) (dual of [(128, 2), 107, 91]-NRT-code) | [i] | ||
29 | No linear OOA(2150, 128, F2, 2, 91) (dual of [(128, 2), 106, 92]-NRT-code) | [i] | ||
30 | No linear OOA(2151, 128, F2, 2, 92) (dual of [(128, 2), 105, 93]-NRT-code) | [i] | ||
31 | No linear OOA(2152, 128, F2, 2, 93) (dual of [(128, 2), 104, 94]-NRT-code) | [i] | ||
32 | No linear OOA(2153, 128, F2, 2, 94) (dual of [(128, 2), 103, 95]-NRT-code) | [i] | ||
33 | No linear OOA(2154, 128, F2, 2, 95) (dual of [(128, 2), 102, 96]-NRT-code) | [i] | ||
34 | No linear OOA(2155, 128, F2, 2, 96) (dual of [(128, 2), 101, 97]-NRT-code) | [i] | ||
35 | No linear OOA(2156, 128, F2, 2, 97) (dual of [(128, 2), 100, 98]-NRT-code) | [i] | ||
36 | No linear OOA(2157, 128, F2, 2, 98) (dual of [(128, 2), 99, 99]-NRT-code) | [i] | ||
37 | No linear OOA(2158, 128, F2, 2, 99) (dual of [(128, 2), 98, 100]-NRT-code) | [i] | ||
38 | No linear OOA(2159, 128, F2, 2, 100) (dual of [(128, 2), 97, 101]-NRT-code) | [i] | ||
39 | No linear OOA(2160, 128, F2, 2, 101) (dual of [(128, 2), 96, 102]-NRT-code) | [i] | ||
40 | No linear OOA(2161, 128, F2, 2, 102) (dual of [(128, 2), 95, 103]-NRT-code) | [i] | ||
41 | No linear OOA(2162, 128, F2, 2, 103) (dual of [(128, 2), 94, 104]-NRT-code) | [i] | ||
42 | No linear OOA(2163, 128, F2, 2, 104) (dual of [(128, 2), 93, 105]-NRT-code) | [i] | ||
43 | No linear OOA(2164, 128, F2, 2, 105) (dual of [(128, 2), 92, 106]-NRT-code) | [i] | ||
44 | No linear OOA(2165, 128, F2, 2, 106) (dual of [(128, 2), 91, 107]-NRT-code) | [i] | ||
45 | No linear OOA(2166, 128, F2, 2, 107) (dual of [(128, 2), 90, 108]-NRT-code) | [i] | ||
46 | No linear OOA(2167, 128, F2, 2, 108) (dual of [(128, 2), 89, 109]-NRT-code) | [i] | ||
47 | No linear OOA(2168, 128, F2, 2, 109) (dual of [(128, 2), 88, 110]-NRT-code) | [i] | ||
48 | No linear OOA(2123, 128, F2, 2, 64) (dual of [(128, 2), 133, 65]-NRT-code) | [i] | Depth Reduction | |
49 | No linear OOA(2123, 128, F2, 3, 64) (dual of [(128, 3), 261, 65]-NRT-code) | [i] | ||
50 | No linear OOA(2123, 128, F2, 4, 64) (dual of [(128, 4), 389, 65]-NRT-code) | [i] | ||
51 | No linear OOA(2123, 128, F2, 5, 64) (dual of [(128, 5), 517, 65]-NRT-code) | [i] | ||
52 | No linear OOA(2123, 128, F2, 6, 64) (dual of [(128, 6), 645, 65]-NRT-code) | [i] | ||
53 | No linear OOA(2123, 128, F2, 7, 64) (dual of [(128, 7), 773, 65]-NRT-code) | [i] | ||
54 | No linear OOA(2123, 128, F2, 8, 64) (dual of [(128, 8), 901, 65]-NRT-code) | [i] | ||
55 | No digital (59, 123, 128)-net over F2 | [i] | Extracting Embedded Orthogonal Array |