2=x3+cx OVER 𝔽 p MOD 8" - elliptic curves over finite fields;rational points;"/> 2=x3+cx OVER 𝔽 p MOD 8""/> CORRIGENDUM ON "THE NUMBER OF POINTS ON ELLIPTIC CURVES E:y<sup>2</sup>=x<sup>3</sup>+cx OVER 𝔽 <sub>p</sub> MOD 8" | Korea Science
CORRIGENDUM ON "THE NUMBER OF POINTS ON ELLIPTIC CURVES E:y2=x3+cx OVER 𝔽 p MOD 8"

Title & Authors
CORRIGENDUM ON "THE NUMBER OF POINTS ON ELLIPTIC CURVES E:y2=x3+cx OVER 𝔽 p MOD 8"
Inam, Ilker; Soydan, Gokhan; Demirci, Musa; BiZim, Osman; Cangul, Ismail Naci;

Abstract
In this work, authors considered a result concerning elliptic curves $\small{y^2=x^3+cx}$ over $\small{\mathbb{F}_p}$ 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;
Language
English
Cited by
1.
REMARK OF Pi,k ON ELLIPTIC CURVES AND APPLICATION FOR MANCHESTER CODING,Kim, Dae-Yeoul;Kim, Min-Soo;

호남수학학술지, 2011. vol.33. 2, pp.153-161
2.
THE NUMBER OF POINTS ON ELLIPTIC CURVES E0a3:y2=x3+a3 OVER Fp MOD 24,You, Soon-Ho;Park, Hwa-Sin;Kim, Hyun;

호남수학학술지, 2009. vol.31. 3, pp.437-449
3.
THE NUMBER OF POINTS ON ELLIPTIC CURVES y2 = x3 + Ax AND y2 = x3 + B3 MOD 24,Jeon, Wonju;Kim, Daeyeoul;

대한수학회논문집, 2013. vol.28. 3, pp.433-447
1.
REMARK OF Pi,kON ELLIPTIC CURVES AND APPLICATION FOR MANCHESTER CODING, Honam Mathematical Journal, 2011, 33, 2, 153
2.
THE NUMBER OF POINTS ON ELLIPTIC CURVES y2= x3+ Ax AND y2= x3+ B3MOD 24, Communications of the Korean Mathematical Society, 2013, 28, 3, 433
3.
THE NUMBER OF POINTS ON ELLIPTIC CURVES E0a3:y2=x3+a3OVER FpMOD 24, Honam Mathematical Journal, 2009, 31, 3, 437
4.
THE NUMBER OF POINTS ON ELLIPTIC CURVES EA0:y2=x3+Ax OVER $\mathbb{F}$pMOD 24, Honam Mathematical Journal, 2012, 34, 1, 93
References
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

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