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Muramatsu Lab
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The lab studies codes and random numbers for sending information efficiently and securely.
AboutAbout the lab
Sending information as efficiently and securely as possible.
The Muramatsu Lab studies the theory of sending information efficiently and securely.
In the field known as information theory, the lab works on codes that approach the theoretical limit of communication performance (the Shannon limit) and on methods for securely sharing keys using random numbers.
The lab also works on the theory of coding that makes use of the properties of sparse matrices.
Key terms
- Shannon limit
- The theoretical upper bound on the rate at which information can be sent without errors
- Channel code
- A way of transforming information so that errors occurring during communication can be detected and corrected
- Random numbers
- A sequence of numbers with no regularity, in which the next number cannot be predicted
ResearchResearch themes
In the field known as information theory, the lab studies coding and random number techniques for sending information both securely and as efficiently as the theoretical limit allows. Its work centers on the theory of coding using random number generators and sparse matrices.
*Illustrative imageChannel Codes Approaching the Shannon Limit
The lab studies channel codes, an error-correction technique whose performance reaches the theoretical limit (the Shannon limit) for sending information as efficiently as possible.
*Illustrative imageSecret Key Sharing Using Random Numbers
The lab studies methods for securely creating a secret key that only the two communicating parties share, using physical random numbers generated from sources such as lasers.
*Illustrative imageCoding with Sparse Matrices
The lab studies the theory of coding that uses the properties of sparse matrices to compress information and correct errors.
MembersFaculty
- Jun Muramatsu
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Spread of light in optical fiber, Macro visualization, Demonstration of prof Angel Toshkov to students” AZToshkov / CC BY-SA 3.0 (cropped)
- Channel Codes Approaching the Shannon Limit: “Water droplets on a Compact Disk” Ingo Dierking / CC BY-SA 4.0 (cropped)
- Secret Key Sharing Using Random Numbers: “Würfel” Dietmar Rabich / CC BY-SA 4.0 (cropped)
- Coding with Sparse Matrices: “Acorn Woodpecker (m) in granary tree ( )” Becky Matsubara from El Sobrante, California / CC BY 2.0 (cropped)
- Related lab (三枝崎研究室): “Close-packed spheres, with umbrella light & camerea” Greg A L / CC BY-SA 3.0 (cropped)
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