VLSI Architectures for Modern Error-Correcting Codes

Contents

Preface

List of Figures

List of Tables

1 Finite field arithmetic

1.1 Definitions, properties, and element representations

1.2 Finite field arithmetic

1.2.1 Multiplication using basis representations

1.2.1.1 Standard basis multiplier

1.2.1.2 Normal basis multiplier

1.2.1.3 Dual basis multiplier

1.2.1.4 Multiplication in composite field

1.2.2 Inversion using basis representations

1.2.2.1 Inversion in original field

1.2.2.2 Inversion in composite field

1.3 Mapping between finite field element representations

1.3.1 Mapping between standard basis and composite field representations

1.3.2 Mapping between power and standard basis representations

1.3.3 Mapping between standard and normal basis representations

2 VLSI architecture design fundamentals ...