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Divisibility properties and new bounds for cyclic codes and exponential sums in one and several variables (1994)

Litsyn, S. ; Moreno, C. J. ; Moreno, O.

Springer

Applicable algebra in engineering, communication and computing 5 (1994), S. 105-116

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ISSN: 1432-0622

Keywords: Bounds on the distance of cyclic codes ; Divisible codes ; Exponential sums

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science , Mathematics , Technology

Notes: Abstract Serre has obtained sharp estimates for the number of rational points on an algebraic curve over a finite field. In this paper we supplement his technique with divisibility properties for exponential sums to derive new bounds for exponential sums in one and several variables. The new bounds give us an improvement on previous bounds for the minimum distance of the duals of BCH codes. The divisibility properties also imply the existence of gaps in the weight distribution of certain cyclic codes, and in particular gives us that BCH codes are divisible (in the sense of H. N. Ward).

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01438279

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Identification of high spin states in146Dy throughγ-recoil coincidences (1992)

Angelis, G. ; Bazzacco, D. ; Beghini, S. ; [et al.]

Springer

The European physical journal 341 (1992), S. 371-372

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ISSN: 1434-601X

Keywords: 23.20.Lv ; 27.60.+J

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract High spin states of 146 Dy above the 10+ isomer have been identified by means ofγ- recoil andγ }-γ coincidences through the reaction90 Zr(58 Ni, 2pat a bombarding energy of 250 Me V. The level scheme is discussed in terms of the coupling of 2h11/2 protons to the N=80 core vibrations.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01283548

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Identification of theN=79147Er nucleus throughγ-recoil coincidences (1992)

Angelis, G. ; Bazzacco, D. ; Lunardi, S. ; [et al.]

Springer

The European physical journal 343 (1992), S. 121-122

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ISSN: 1434-601X

Keywords: 23.20.Lv ; 27.60.+J

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract he so far unknown nucleus147Er has been identified by means of γ- recoil and γ — γ coincidences through the reaction92Mo(58Ni,2pn) at a bombarding energy of 260 MeV. The level scheme has been obtained up to 5.0 MeV of excitation energy and shows collective excitations built on the h11/2 intruder orbital.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01291605

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