Affine polynomial

Xem 1-5 trên 5 kết quả Affine polynomial

The hybrid method for finding the roots of a polynomial over finite fields based on affine expansion

This paper proposes a hybrid method to find the roots of a polynomial in a finite field based on combining the polynomial decomposition into the sum of multiples of the affine polynomial with the analytical method to find the roots of low-order polynomials.

10p visergeyne 18-06-2024 1 0 Download

Low latency BCH decoder using the affine polynomial over the finite field

The paper proposes a low latency BCH decoder with low complexity using parallel computation and simplifying locating errors by finding the roots of the affine polynomial over finite fields. The proposed design can be implemented on low-cost hardware platforms while applicable in very low latency information systems.

9p visirius 19-01-2023 6 4 Download

Neutral atoms and ion energies, accurate ionization potential, and electron affinities by polynomial generator coordinate Hartree–Fock method

We have developed accurate Gaussian basis functions obtained with the polynomial generator coordinate Hartree–Fock (p-GCHF) method for H, Zn, and Ga-Kr atoms. These basis sets have been applied in the calculation of nonrelativistic energies for neutral atoms, monovalent cations, monovalent anions, ionization potential (IP), and electron affinity (EA), with the objective of proving the quality of the basis set generated by the p-GCHF method.

9p tudichquannguyet 29-11-2021 8 1 Download
Đề tài " Quiver varieties and tanalogs of q-characters of quantum affine algebras "

We consider a specialization of an untwisted quantum aﬃne algebra of type ADE at a nonzero complex number, which may or may not be a root of unity. The Grothendieck ring of its ﬁnite dimensional representations has two bases, simple modules and standard modules. We identify entries of the transition matrix with special values of “computable” polynomials, similar to Kazhdan-Lusztig polynomials. At the same time we “compute” q-characters for all simple modules. The result is based on “computations” of Betti numbers of graded/cyclic quiver varieties.

42p tuanloccuoi 04-01-2013 51 7 Download
Physics — and — Combinatorics 2000

This volume contains the Proceedings of the Workshop "Physics and Combinatorics" held at the Graduate School of Mathematics, Nagoya University, Japan, during August 21-26, 2000. The workshop organizing committee consisted of Kazuhiko Aomoto, Fumiyasu Hirashita, Anatol Kirillov, Ryoichi Kobayashi, Akihiro Tsuchiya, and Hiroshi Umemura.

329p camnhung_1 13-12-2012 55 5 Download