Конечные поля. Том 1 - Лидл Р.
ISBN 5-03-000065-8
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Литература
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[21 The distribution of absolutely irreducible polynomials in several
jndetermF nates, Proc. Amer. Math. Soc. 31, 387-390 (1972).
FREDR1CKSEN H. fl] A class of nonlinear de Bruijn cycles, J.
Combinatorial Theory Ser. A 19, 192-199 (1975).
121 A survey of full length nonlinear shift register cycle algorithms,
SIAM Rev. 24, 195-221 (1982).
FREDRICKSEN H., KESSLER I. [IJ Lexicographic compositions and de Bruijn
sequences, J. Combinatorial Theory Ser. A 22, 17-30 (1977),
FREDRICKSEN H" WISNIEWSKI R. [1 ] On trinomials xn 4- x2 + 1 and
Д.8/+3-ь xk _j^ j jrredncjble over GF (2), Information and Control 50,
58-63
(1981).
FREDRlCSSQN S, A. II] Pseudo-randomness properties of binary shift
register sequences, IEEE Trans. Information Theory IT-21, 115-120 (1975),
FRIED M. 11] Arithmetical properties of value sets of polynomials, Acta
Arith. 15, 91 - 115 (1969).
[21 On a conjecture of Schur, Michigan Math, J. 17, 41-55 (1970).
13j On a theorem of Ritt and related Diophantine problems, J, reine
angew, Math. 264, 40-55 (1973).
14] On a theorem of MacCluer, Acta Arith. 25, 121 - 126 (1974),
15 j Arithmetical properties of function fields (II). The generalized
Schur problem, Acta Arilh. 25, 225-258 (1974).
FRIED М., MACRAE R. E. fl] On the invariance of chains of fields,
Illinois J. Math. 13, 165-171 (1969).
FRIED М., SACErDOTE G. fl] Solving diophantine problems over all residue
class fields of a number field and all finite fields, Ann. of Math. (2)
104, 203- 233 {1976):
FRIEDLAND В. [ I ].Linear modular sequential circuits, IRE Trans, Circuit
Theory CT-6, 61-68 (1959).
FRIEDLAND B., STERN Т. E. fl] On periodicity of state in linear modular
sequential circuits, IRE Trans. Information Theory IT-5, 136-137 (1959).
FRIEDLANDER J, B. fl) A note on primitive roots in finite fields,
Mathematika 19, 112-114 (1972).
[2] On the least ?th power non-residue in an algebraic number field,
Proc, London Math. Soc. (3) 26, 19-34 (1973).
[3] Character sums in quadratic fields, Proc, London Math. Soc. (3) 28,
99-Ml (1974).
FRIEDMAN W. F.. MENDELSOHN C. J. [11 Notes on code words, Amer. Math,
Monthly 39, 394-409 (1932),
FROBERG C.-E. fl) New results on the Kummer conjecture, BIT 14, 117-119
(1974).
FROHLICH A. fl ] Non-abelian Jacobi sums, Number Theory and Algebra (H.
Zns* senhaus, ed.), pp. 71-75, Academic Press, New York, 1977.
|2] Stickelberger without Gauss sums, Algebraic Number Fields (A.
Frohlich, ed,) pp. 589 -607, Academic Press, London, 1977.
FROHLICH A,, TAYLOR M. J. fl] The arithmetic theory of local Galois Gauss
sums for tame characters, PhyL Trans. Royal Soc. London Ser, A 298, 141 -
181 (1980).
FROLOV M. fl] Sur les racines primitives, Bull. Soc. Math, France 21,
113-128 (1893), ibid. 22, 241-245 (1894).
FRYER K- D. fl ] Note on permutations in a finite field, Proc, Amer.
Math. Soc 6, 1-2 (1955).
J2] A class of permutation groups of prime degree. Canad J. Math. 7, 24-
34 (1955) ,
FELTON J, D. fl) Symmetric involutory matrices oyer finite fields and
modular rings of integers, Duke Math, J. 36, 401-407 (1969).
f-l Stochastic involutions over a finite field, Duke Math. J, 39, 391-399
(1972).
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13] Characterization and enumeration of linear classes of involutions
over a fin] field. Linear Algebra Appl. 6, 119-127 (1973).
14] Linear classes of involutions over fields of characteristic two,
Linear AI Appl. 6} 129-142 (1973),
]5] Representations by quadratic forms of arbitrary rank in a finite
field of elf racteristic two, Linear and MuHilinear Algebra 4, 89-101
(1976).
16] Representations by Hermitian forms in a finite field
of characteristic f
Canad J. Math. 29, 169-179 (1977).
17] Representations by quadratic forms in a finite field
of characteristic tw|
Math. Nachr. 77, 237 243 (1977).
15] Generalized inverses of matrices over a finite field, Discrete Math.
21, 23
(1978).
19] Gauss sums and solutions to simultaneous equations over GF (2^),
Acta 35, 17-24 (1979).
[10] Generalized inverses of matrices over fields of characteristic two,
Lin Algebra Appl. 28, 69-76 (1979).
FULTON J. D., MORRIS W, L. 11J On arithmetical functions related to the
Fiblj nacci numbers, Acta Arith, 16, 105-110 (1969). . (r)
FULTON W, 11] A fixed point formula for varieties over finite fields,
Math. Scat 42, 189-196 (1978).
FLRQUIM DE ALMEIDA F. ] 1J On a formula of Cipolla (Portuguese), Sumii
Brasil, Math. 1, no. 10, 207-219 (1946),
12] The law of quadratic reciprocity (Portuguese), Bol, Soc. Mat. Sao
Paulo no. 1-2, 3-8 (1948).
FURSTENBERG H. fl] Algebraic functions over finite fields, J, Algebra 7,
277 (1967).
FURTADO GOMIDE E. [I] On the theorem of Artin-Weil (Portuguese),
Soc. Mat. Sao Paulo 4, 1-18 (1949).
GAAL L. fl] Classlsal Galois Theory with Examples, Markham, Chicago, 197U
GAIU E. П] Congruences of matrices having integer elements (Romanian),
