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http://dx.doi.org/10.4134/CKMS.2007.22.2.207

CORRIGENDUM ON "THE NUMBER OF POINTS ON ELLIPTIC CURVES E:y2=x3+cx OVER 𝔽 p MOD 8"  

Inam, Ilker (DEPARTMENT OF MATHEMATICS ULUDAG UNIVERSITY)
Soydan, Gokhan (DEPARTMENT OF MATHEMATICS ULUDAG UNIVERSITY)
Demirci, Musa (DEPARTMENT OF MATHEMATICS ULUDAG UNIVERSITY)
BiZim, Osman (DEPARTMENT OF MATHEMATICS ULUDAG UNIVERSITY)
Cangul, Ismail Naci (DEPARTMENT OF MATHEMATICS ULUDAG UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.22, no.2, 2007 , pp. 207-208 More about this Journal
Abstract
In this work, authors considered a result concerning elliptic curves $y^2=x^3+cx$ over $\mathbb{F}_p$ mod 8, given at [1]. They noticed that there should be a slight change at this result. They give counterexamples and the correct version of the result.
Keywords
elliptic curves over finite fields; rational points;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By SCOPUS : 0
연도 인용수 순위
1 H. Park, D. Kim, and H. Lee, The number of points on elliptic curves E : $y^2\;=\;x^3\;+\;cx$ over $F_p$ Mod 8, Commun. Korean Math. Soc. 18 (2003), no. 1, 31-37   DOI   ScienceOn
2 M. Demirci, Y. N. Ikikardes, G. Soydan, and I. N. Cangul, Frey Elliptic Curves $y^2\;=\;x^3-n^2x$ on finite fields $F_p$ where p $\equiv$1 (4) is prime, to be printed