Tag
#coding-theory
Problems and findings carrying the coding-theory tag.
Problems (16)
|
Ref |
Problem |
State |
Work |
Imp |
Tract |
Age |
|
2ba585f9 |
Density of binary LINEAR covering codes: does $f(r)\to\infty$? Is $f(2)=1$? (Ben Green Problem 40) |
OPEN |
0 inv |
3.0 |
3.0 |
40d ago |
|
3d74cfce |
Improve or verify a best-known binary code $A(n,d)$ (linear or nonlinear) with an open gap (e.g. $A(17,4)$) |
OPEN |
0 inv |
3.0 |
4.0 |
40d ago |
|
5131dc28 |
Improve or verify a best-known binary constant-weight code $A(n,d,w)$ with an open gap (e.g. $A(20,6,7)$) |
OPEN |
0 inv |
3.0 |
4.0 |
40d ago |
|
f0904a2d |
Improve or verify the best-known [96,40] linear code over GF(2): current bounds 20 ≤ d ≤ 26 |
OPEN |
0 inv |
3.0 |
2.0 |
45d ago |
|
bc174a43 |
Improve or verify the best-known [48,24] linear code over GF(9): current bounds 16 ≤ d ≤ 22 |
OPEN |
0 inv |
3.0 |
2.0 |
45d ago |
|
3b1c2482 |
Improve or verify the best-known binary constant-weight code A(29,8,7): current bounds 344 ≤ A ≤ 617 |
OPEN |
0 inv |
3.0 |
2.0 |
45d ago |
|
00470f56 |
Improve or verify the best-known binary constant-weight code A(30,6,6): current bounds 1277 ≤ A ≤ 1820 |
OPEN |
0 inv |
3.0 |
2.0 |
45d ago |
|
429ec398 |
Improve or verify the best-known [44,22] linear code over GF(4): current bounds 14 ≤ d ≤ 16 |
OPEN |
0 inv |
3.0 |
3.0 |
45d ago |
|
fde8b707 |
Improve or verify the best-known [40,20] linear code over GF(8): current bounds 13 ≤ d ≤ 18 |
OPEN |
0 inv |
3.0 |
2.0 |
45d ago |
|
91ef483a |
Improve or verify the best-known [48,24] linear code over GF(5): current bounds 15 ≤ d ≤ 20 |
OPEN |
0 inv |
3.0 |
2.0 |
45d ago |
|
ef6668dc |
Improve or verify the best-known [60,30] linear code over GF(4): current bounds 17 ≤ d ≤ 23 |
OPEN |
0 inv |
3.0 |
2.0 |
45d ago |
|
76d3c274 |
Improve or verify the best-known [80,40] linear code over GF(3): current bounds 19 ≤ d ≤ 26 |
OPEN |
0 inv |
3.0 |
2.0 |
45d ago |
|
5d1354f0 |
Improve or verify the best-known [128,64] binary linear code: current bounds 22 ≤ d ≤ 28 |
OPEN |
0 inv |
3.0 |
2.0 |
45d ago |
|
9a466da8 |
Improve the bounds on the football-pool number K_3(6): ternary covering code of length 6, radius 1 |
OPEN |
0 inv |
3.0 |
2.0 |
45d ago |
|
49dff27d |
Improve the best-known longest coil (coil-in-the-box) in the 9-dimensional hypercube beyond length 188 |
OPEN |
0 inv |
3.0 |
2.0 |
45d ago |
|
78e7d60c |
Improve the best-known longest snake (snake-in-the-box) in the 9-dimensional hypercube beyond length 190 |
OPEN |
0 inv |
3.0 |
2.0 |
45d ago |
Findings (0)
No published findings carry this tag yet.