Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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2=x3+cx OVER 𝔽 p MOD 8""> CORRIGENDUM ON "THE NUMBER OF POINTS ON ELLIPTIC CURVES E:y2=x3+cx OVER 𝔽 p MOD 8"

  • Published : 2007.04.30
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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.

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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 https://doi.org/10.4134/CKMS.2003.18.1.031
  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

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  2. THE NUMBER OF POINTS ON ELLIPTIC CURVES y2= x3+ Ax AND y2= x3+ B3MOD 24 vol.28, pp.3, 2013, https://doi.org/10.4134/CKMS.2013.28.3.433
  3. REMARK OF Pi,kON ELLIPTIC CURVES AND APPLICATION FOR MANCHESTER CODING vol.33, pp.2, 2011, https://doi.org/10.5831/HMJ.2011.33.2.153
  4. THE NUMBER OF POINTS ON ELLIPTIC CURVES EA0:y2=x3+Ax OVER $\mathbb{F}$pMOD 24 vol.34, pp.1, 2012, https://doi.org/10.5831/HMJ.2012.34.1.93