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Classical convolutional GRS codes and applications to quantum convolutional codes
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DOI：10.1007/s11128-026-05062-y.png)
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Abstract
En 中文
In this paper, we use generalized Reed-Solomon (GRS) codes as block codes to construct classical convolutional codes and classical convolutional GRS codes with arbitrary memory and flexible degrees are derived. Particularly, for unit-memory and double-memory, some of the convolutional GRS codes are exactly convolutional maximum-distance-separable (MDS) codes. From the resulting convolutional GRS codes, under Euclidean and Hermitian inner products, quantum convolutional codes are obtained, respectively. A connection between quantum convolutional codes and GRS codes is also established.
Keywords:
Convolutional codes
Quantum convolutional codes
MDS codes
GRS codes
Journal
Q
IF:
2.2
Papers:
275
Citations:
0