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Titlebook: Arithmetic of Finite Fields; 8th International Wo Jean Claude Bajard,Alev Topuzoğlu Conference proceedings 2021 Springer Nature Switzerland

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Using Weakly Typed Struct Objects,stigate it and prove some lower bounds on their dimension and minimum distance, in analogy with the theory of BCH codes. This allows us to construct dihedral codes with prescribed minimum distance. In the binary case, we present some examples of optimal dihedral codes obtained by this construction.
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https://doi.org/10.1007/978-3-030-68869-1bit error rate; communication; communication channels (information theory); communication systems; compu
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978-3-030-68868-4Springer Nature Switzerland AG 2021
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A HDL Generator for Flexible and Efficient Finite-Field Multipliers on FPGAsmultiplication. They are designed to exploit finely the DSPs available on most FPGAs, interleaving independent computations to maximize throughput and DSP’s workload. Beside their throughput-efficiency, these operators can dynamically adapt to different finite-fields by changing both operand width a
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Trisymmetric Multiplication Formulae in Finite Fieldsf multiplications involved when computing a bilinear map. The minimal number of multiplications in such formulae is called the ., and it is also of theoretical interest to asymptotically understand it. Moreover, when the bilinear maps admit some kind of invariance, it is also desirable to find formu
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