Abstract: Many kinds of codes which possess two cycle structures over two special finite commutative chain rings, such as ${\mathbb {Z}}_{2}{\mathbb {Z}}_{4}$ -additive cyclic codes and quasi-cyclic ...

It seems to me that there are big issues with the invert function in the homomorphisms file in the combinatorics section. The function is supposed to do this: Return an element of the preimage of ...

As we have seen in previous videos, it happens sometimes that two keys yield the same hash value for a given table size. This is called a “hash collision” or just “collision.” Why do hash collisions ...

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The concept of a network plays a central role in systems biology, where it encodes interactions between the molecular species. Each directed edge has a sign, which represents either a monotonically ...

Abstract: This letter proposes a novel approach for designing non-surjective (NS) finite alphabet iterative decoders (FAIDs) for quasi-cyclic low-density parity-check (LDPC) codes, especially 5G LDPC ...

1 University of the Fraser Valley, Abbotsford, British Columbia. 2 Acadia University, Wolfville, Nova Scotia. 3 University of Victoria, Victoria, British Columbia. Locally-injective homomorphisms (as ...