Updates from February, 2013 Toggle Comment Threads | Keyboard Shortcuts

  • CG 2:15 pm on February 26, 2013 Permalink | Reply
    Tags: coding theory,   

    Crypto vs Code 

    Cryptography is the study of mathematical techniques related to aspects of information security such as confidentiality, data integrity, entity authentication, and data origin authentication. [Handbook of Applied Cryptography – Alfred J. Menezes Paul C. van Oorschot Scott A. Vanstone]

    crypto block diagram

    Coding is needed for efficient reliable digital transmission and storage. [Error Control Coding – Shu Lin, Daniel J. Costello]. Coding theory is is the study of the properties of codes and their fitness for a specific application. Codes are used for data compression, cryptography, error-correction and more recently also for network coding. Codes are studied by various scientific disciplines—such as information theory, electrical engineering, mathematics, and computer science—for the purpose of designing efficient and reliable data transmission methods. This typically involves the removal of redundancy and the correction (or detection) of errors in the transmitted data. [Wikipedia]

    coding block diagram

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  • CG 12:38 pm on May 15, 2012 Permalink | Reply
    Tags: , cryptography, key size, , security   

    How to Select Cryptographic Key Size? 

    A good article offering guidelines for the determination of key sizes for symmetric cryptosystems, RSA, and discrete logarithm based cryptosystems both over finite fields and over groups of elliptic curves over prime fields.

    It can be downloaded here.

     
  • CG 2:01 pm on September 16, 2011 Permalink | Reply
    Tags: , random data,   

    Is this random enough? 

     
  • CG 3:18 pm on July 13, 2011 Permalink | Reply
    Tags: , ,   

    Setting up curves with different numbits for ElGamal 

    This book and the software is very useful for doing experiments of encrypting using elliptic curve cryptography. I’ve been reading some thread with questions on how to change curve parameters, and here’s how:

    To change the number of bits, you have to set it in field2n.h

    Choose the polynomial irreducible in polymain.c

    Set the message to be encrypted in elgamal.c (important note: the length of the message depends on the numbits of the curve)

     
  • CG 3:15 pm on April 6, 2011 Permalink | Reply
    Tags:   

    Now reading 

    http://www.math.kau.se/igorgach/Statji/statja(2010)1.pdf

     
  • CG 7:30 pm on January 21, 2011 Permalink | Reply
    Tags: , , ,   

    Simple FSM 

    —————————————————–
    — FSM for multiplier
    — CG – 21 Jan 2011
    —————————————————–

    library ieee ;
    use ieee.std_logic_1164.all;

    —————————————————–

    entity fsm_multiplierCG_1 is
    port(
    A0,A1,A2,A3: in bit_vector(1 downto 0);
    opA : out bit_vector(1 downto 0);
    clock: in std_logic;
    reset: in std_logic
    );
    end fsm_multiplierCG_1;

    —————————————————–

    architecture FSM of fsm_multiplierCG_1 is

    — define the states of FSM model

    type state_type is (S0, S1, S2, S3);
    signal next_state, current_state: state_type;

    begin

    — cocurrent process#1: state registers
    state_reg: process(clock, reset)
    begin

    if (reset=’1′) then
    current_state <= S0;
    elsif (clock’event and clock=’1′) then
    current_state <= next_state;
    end if;

    end process;

    — cocurrent process#2: combinational logic
    comb_logic: process(current_state, clock)
    begin

    — use case statement to show the
    — state transistion

    case current_state is

    when S0 => opA <= A0;
    next_state <= S1;

    when S1 => opA <= A1;
    next_state <= S2;

    when S2 => opA <= A2;
    next_state <= S3;

    when S3 => opA <= A3;
    next_state <= S0;

    end case;

    end process;

    end FSM;

    —————————————————–

     

     
  • CG 9:10 pm on January 19, 2011 Permalink | Reply
    Tags: , classic multiplier, , ,   

    299 classic multiplier 

    … took forever to compile, and does not fit.

    the super long code generated using perl. with the help of master shifu, thank you 🙂

     
  • CG 3:11 pm on December 17, 2010 Permalink | Reply
    Tags: , ,   

    Now reading 

    Mapping an Arbitrary Message to an Elliptic Curve when Defined over GF(2^n), Brian King, Indiana University – Purdue University Indianapolis 723 W Michigan, SL 160 Indianapolis, IN 46202International Journal of Network Security, Vol.8, No.2, PP.169–176, Mar. 2009.

     
    • Johnb282 9:24 pm on May 28, 2014 Permalink | Reply

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  • CG 10:43 am on November 8, 2010 Permalink | Reply
    Tags: ,   

    Now reading 

    1. Implementation Aspects of Elliptic Curve Cryptography & An Introduction to Unified (Dual-Field) Arithmetic, Erkay Savas, Oregon State University (pdf)
    2. Elliptic Curve Cryptosystems on Reconfigurable Hardware, Martin Christopher Rosner, Master Thesis, Worcester Polytechnic Institute, May 2008 (pdf)
    3. Fast Algorithms for Elliptic Curve Cryptosystems over Binary Finite Field, [Published in K. Y. Lam and E. Okamoto, Eds., Advances in Cryptology – ASIACRYPT ’99, vol. 1716 of Lecture Notes in Computer Science, pp. 75–85, Springer-Verlag, 1999.], Yongfei Han, Peng-Chor Leong, Peng-Chong Tan, and Jiang Zhang (pdf)
     
  • CG 3:51 pm on November 1, 2010 Permalink | Reply
    Tags: , key lengths   

    Key Lengths – Arjen K. Lenstra 

    Key Lengths – Contribution to The Handbook of Information Security, Arjen K. Lenstra Lucent Technologies and TechnischeUniversiteit Eindhoven 1 North Gate Road, Mendham, NJ 07945-3104, U.S.A., June 30, 2004

     

     
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