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We identify a novel method of using feedback to provide enhanced information-theoretical security in the presence of an eavesdropper. This method begins with a fixed linear coset code providing both secrecy and error detection/correction, as has been described by several authors. The legitimate receiver then sends the syndrome information for the received codeword, and based on this feedback, the transmitter can provide further error correction information specifically tailored to assist only the legitimate receiver. We show that this method allows secure communication with the legitimate receiver even when the eavesdropper’s channel is superior to that of the legitimate receiver.more » « less
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Hunn, David; Harrison, Willie K. (, 2022 International Symposium on Information Theory (ISIT))The performance and structure of wiretap codes are analyzed in the limit of large code size and very low- or very high-rate codes. Under these conditions, code performance may be calculated using the properties of subspaces of the available code space. Using this technique, a code defined by a generator matrix with a uniform distribution of nonzero columns is proven to be locally optimal.more » « less
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