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A New Class Of Modulo 𝟐𝒏 − 𝟐𝒌 − 𝟏 Adder for Multi-Channel RNS

Karunamoorthi T, Babykala M

In Residue Number System (RNS) the modular adder is one of the major key component of RNS applications. For multichannel RNS processing the moduli set with the form 2N-2K-1 can offer excellent balance. In this algorithm, parallel prefix operation and carry correction techniques are used to eliminate the recomputation of carries. Moreover, any existing parallel prefix structure can be used in the proposed structure and it gives flexible tradeoff between area and delay. Compared with same type modular adder, the proposed modulo2N-2K-1 adder gives better performance in delay and area.