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Methods of constructing BIB designs depend on the use of finite fields, finite geometries, and number theory.
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In addition, we aim to investigate the effect of the size of finite fields, used in the underlying network coding scheme, on the results of optimum power allocation.
In particular, the proposed multiplier has an advantage when the extension degree of finite fields m is large and the characteristic of finite fields p is small like GF 3m), GF 5m), and GF 7m) used in pairing-based cryptosystems.
The N l cells are used for normalization of finite field elements, which includes exclusive multipliers described in Section 3.4.
The E kl cells are used for elimination of finite field elements, which includes exclusive adders and multipliers described in Sections 3.3 and 3.4.
In many fields, use of finite mixtures of non-degenerate components may have a stronger theoretical basis than assuming a mixture of at-risk and not-at-risk latent classes.
For example, coding theory makes use of matrices over finite fields.
The use of finite difference approximation inevitably introduces anisotropy into the governing field equation.
We provide constructions of cyclic 2-class PBIBD's using cyclotomy in finite fields.
The BCH codes form a large class of error-correcting cyclic codes that are constructed using finite fields.
We have developed a method of combining our arrays constructed using Finite Field algebra with stochastically generated ones, to match the security of the RNG method.
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