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001 EBC3113264
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008 240724s2010 xx o ||||0 eng d
020 _a9780821881972
_q(electronic bk.)
020 _z9780821847862
035 _a(MiAaPQ)EBC3113264
035 _a(Au-PeEL)EBL3113264
035 _a(CaPaEBR)ebr10878719
035 _a(OCoLC)922980858
040 _aMiAaPQ
_beng
_erda
_epn
_cMiAaPQ
_dMiAaPQ
050 4 _aQA247.3 -- .I57 2009eb
082 0 _a512/.3
100 1 _aMcGuire, Gary.
245 1 0 _aFinite Fields :
_bTheory and Applications.
250 _a1st ed.
264 1 _aProvidence :
_bAmerican Mathematical Society,
_c2010.
264 4 _c©2009.
300 _a1 online resource (394 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aContemporary Mathematics ;
_vv.518
505 0 _aIntro -- Contents -- Preface -- Construction of new toric quantum codes -- On the calculation of the linear complexity of periodic sequences -- A few more functions that are not APN infinitely often -- An APN permutation in dimension six -- CCZ-equivalence of single and multi output Boolean functions -- Structural weaknesses of permutations with a low differential uniformity and generalized crooked functions -- Solvability of systems of polynomial equations with some prescribed monomials -- Character sums in finite fields -- Monomial functions with linear structure and permutation polynomials -- Primitive elements on lines in extensions of finite fields -- Commutative semifields of order 243 and 3125 -- Normal elliptic bases and torus-based cryptography -- Unitary superperfect binary polynomials -- Shift-invariant polynomials and Ritts Second Theorem -- Waring's problem in finite fields with Dickson polynomials -- Jacobi sums and irreducible polynomials with prescribed trace and restricted norm -- A family of binary sequences from interleaved construction and their cryptographic properties -- Sziklai's conjecture on the number of points of a plane curve over a finite field II -- Folded algebraic-geometric codes from Galois extensions -- A multilinear generalization of the Tate pairing -- The merit factor of binary sequence families constructed from m-sequences -- Intractable problems in cryptography -- Modular curves and coding theory: A survey -- Minimal generating sets of Weierstrass semigroups of certain m-tuples on the norm-trace function field -- On the zeta functions of an optimal tower of function fields over F4 -- The asymptotic theory of algebraic-geometry codes -- A spectrum result on maximal partial ovoids of the generalized quadrangle Q(4, q), q odd -- Cyclic codes aspects of bent functions.
588 _aDescription based on publisher supplied metadata and other sources.
590 _aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 0 _aFinite fields (Algebra) -- Congresses.
650 0 _aArithmetical algebraic geometry -- Congresses.
650 0 _aNumber theory -- Congresses.
650 0 _aCoding theory -- Congresses.
655 4 _aElectronic books.
700 1 _aMullen, Gary L.
700 1 _aPanario, Daniel.
700 1 _aPanario, Daniel.
700 1 _aShparlinski, Igor E.
776 0 8 _iPrint version:
_aMcGuire, Gary
_tFinite Fields
_dProvidence : American Mathematical Society,c2010
_z9780821847862
797 2 _aProQuest (Firm)
830 0 _aContemporary Mathematics
856 4 0 _uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113264
_zClick to View
999 _c68798
_d68798