REMARK OF Pi,k ON ELLIPTIC CURVES AND APPLICATION FOR MANCHESTER CODING

• Journal title : Honam Mathematical Journal
• Volume 33, Issue 2,  2011, pp.153-161
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2011.33.2.153
Title & Authors
REMARK OF Pi,k ON ELLIPTIC CURVES AND APPLICATION FOR MANCHESTER CODING
Kim, Dae-Yeoul; Kim, Min-Soo;

Abstract
Greg([Greg]) considered that $\small{N_k= \sum\limits_{i=1}^k(-1)^{i+1}P_{i,k}(p)N_1^i}$ where the $\small{P_{i,k}}$'s were polynomials with positive integer coefficients. In this paper, we will give the equations for $\small{\sum\limits{P_{i,k}}$ modulo 3. Using this, if we send a information for elliptic curve to sender, we can make a new checksum method for Manchester coding in IEEE 802.3 or IEEE 802.4.
Keywords
Congruences;Elliptic curve;
Language
English
Cited by
References
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