ETRI Knowledge Sharing Platform : Low Complexity Multiplier Based on Dickson Basis Using Efficient Toeplitz Matrix-Vector Product

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Journal Article Low Complexity Multiplier Based on Dickson Basis Using Efficient Toeplitz Matrix-Vector Product

Cited 4 time in scopus

Citation: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, v.E98.A, no.11, pp.2283-2290

Abstract: A field multiplication in the extended binary field is often expressed using Toeplitz matrix-vector products (TMVPs), whose matrices have special properties such as symmetric or triangular. We show that such TMVPs can be efficiently implemented by taking advantage of some properties of matrices. This yields an efficient multiplier when a field multiplication involves such TMVPs. For example, we propose an efficient multiplier based on the Dickson basis which requires the reduced number of XOR gates by an average of 34% compared with previously known results.

KSP Keywords: Binary fields, Field multiplication, Toeplitz matrix-vector product, low-complexity

218 Gajeong-ro, Yuseong-gu, Daejeon, 34129, KOREA, Contact: sh.kim@etri.re.kr

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