Codes over integers, and the singularity of random matrices with large entries

Sankeerth Rao Karingula
Sankeerth Rao Karingula

Electron. Colloquium Comput. Complex., pp. 1562020.

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Abstract:

The prototypical construction of error correcting codes is based on linear codes over finite fields. In this work, we make first steps in the study of codes defined over integers. We focus on Maximum Distance Separable (MDS) codes, and show that MDS codes with linear rate and distance can be realized over the integers with a constant al...More

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