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On Multi-Point Local Decoding of Reed-Muller Codes
Reed-Muller codes locally correctable codes
2016/4/13
Reed-Muller codes are among the most important classes of locally correctable codes. Currently local decoding of Reed-Muller codes is based on decoding on lines or quadratic curves to recover one sing...
The failure of McEliece PKC based on Reed-Muller codes.
Reed-Muller binary code McEliece cryptosystem
2014/3/13
This paper describes new algorithm for breaking McEliece cryptosystem, built on Reed-Muller binary code $RM(r, m)$, which receives the private key from the public key. The algorithm has complexity $O(...
Secure Connectivity Model In Wireless Sensor Network(WSN) Using 1st Order Reed Muller Codes
cryptographic protocols Connectivity Communication Reed-Muller Codes Reed-Solomon Codes Security
2010/7/14
In this paper, we suggest the idea of separately treating the connectivity and communication model of a Wireless Sensor Network(WSN). We then propose a novel connectivity model for a WSN using first o...