Upper and lower bounds on the largest number of weights in a cyclic code of given length, dimension and alphabet are given. An application to irreducible cyclic codes is considered. Sharper upper ...

Rankify is a Python toolkit designed for unified retrieval, re-ranking, and retrieval-augmented generation (RAG) research. Our toolkit integrates 40 pre-retrieved benchmark datasets and supports 7 ...

Hamming code is normally used for transmission of 7-bit data item. Scaling it for larger data lengths results in a lot of overhead due to interspersing the redundancy bits and their removal later. In ...