The integration of network coding with algebraic coding theory has significantly advanced the efficiency and reliability of communication systems. At its core, network coding involves the intelligent ...

DNA coding theory bridges the disciplines of mathematics, computer science and molecular biology by applying advanced algebraic and combinatorial techniques to the design of nucleotide sequences. This ...

Introduction to Coding Theory is college level coverage of the mathematics of coding theory. This is directly applicable to data transmission, error correction and ...

An unfashionable nineteenth century technique, invariant theory, has recently been used to study error-correcting codes. This technique is potentially of much wider application, is very powerful, ...

Consider a finite projective space PG(r - 1, s) of r - 1 dimensions, r ≥ 3, based on the Galois field GFs, where s = ph, p being a prime. A set of distinct points in PG(r - 1, s) is said to be a ...

Computer scientists say they’ve cracked the science behind error-correction in quantum computers thanks to new "4D codes." Developed by Microsoft, the new codes were revealed in a blog post published ...