A Low Complexity Algorithm and Architecture for Systematic Encoding of Hermitian Codes

Rachit Agarwal, Ralf Koetter, Emanuel Popovici

We present an algorithm for systematic encoding of Hermitian codes. For a Hermitian code defined over GF(q^2), the proposed algorithm achieves a run time complexity of O(q^2) and is suitable for VLSI implementation. The encoder architecture uses as main blocks q varying-rate Reed-Solomon encoders and achieves a space complexity of O(q^2) in terms of finite field multipliers and memory elements.

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