Research Article

Generalization of the ball-collision algorithm

Volume: 7 Number: 2 May 7, 2020
  • Carmelo Interlando
  • Karan Khathurıa
  • Nicole Rohrer
  • Joachim Rosenthal
  • Violetta Weger
EN

Generalization of the ball-collision algorithm

Abstract

In this paper we generalize the ball-collision algorithm by Bernstein, Lange, Peters from the binary field to a general finite field. We also provide a complexity analysis and compare the asymptotic complexity to other generalized information set decoding algorithms.

Keywords

References

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  4. [4] G. Banegas, P. SLM Barreto, B. Odilon Boidje, P.-L. Cayrel, G. Ndollane Dione, K. Gaj, C. Thiécoumba Gueye, R. Haeussler, J. Belo Klamti, O. N’diaye, et al. DAGS: Key encapsulation using dyadic GS codes, J. Math. Cryptol. 12(4) (2018) 221–239.
  5. [5] A. Barg, E. Krouk, H. C. A. van Tilborg, On the complexity of minimum distance decoding of long linear codes, IEEE Trans. Inform. Theory 45(5) (1999) 1392–1405.
  6. [6] A. Becker, A. Joux, A. May, A. Meurer, Decoding random binary linear codes in 2n/20: How 1+ 1= 0 improves information set decoding, In Annual International Conference on the Theory and Applications of Cryptographic Techniques, pages 520–536. Springer, 2012.
  7. [7] E. Berlekamp, R. McEliece, H. van Tilborg, On the inherent intractability of certain coding problems (Corresp.), IEEE Trans. Inform. Theory 24(3) (1978) 384–386.
  8. [8] D. J. Bernstein, T. Lange, C. Peters, Smaller decoding exponents: ball-collision decoding, In Annual Cryptology Conference, pages 743–760, Springer, 2011.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Carmelo Interlando This is me
0000-0003-4928-043X
Canada

Karan Khathurıa This is me
0000-0002-9886-2770
Switzerland

Nicole Rohrer This is me
Switzerland

Joachim Rosenthal This is me
0000-0003-4545-3559
Switzerland

Violetta Weger This is me
0000-0001-9186-2885
Switzerland

Publication Date

May 7, 2020

Submission Date

September 10, 2019

Acceptance Date

April 18, 2020

Published in Issue

Year 2020 Volume: 7 Number: 2

APA
Interlando, C., Khathurıa, K., Rohrer, N., Rosenthal, J., & Weger, V. (2020). Generalization of the ball-collision algorithm. Journal of Algebra Combinatorics Discrete Structures and Applications, 7(2), 195-207. https://doi.org/10.13069/jacodesmath.729477
AMA
1.Interlando C, Khathurıa K, Rohrer N, Rosenthal J, Weger V. Generalization of the ball-collision algorithm. Journal of Algebra Combinatorics Discrete Structures and Applications. 2020;7(2):195-207. doi:10.13069/jacodesmath.729477
Chicago
Interlando, Carmelo, Karan Khathurıa, Nicole Rohrer, Joachim Rosenthal, and Violetta Weger. 2020. “Generalization of the Ball-Collision Algorithm”. Journal of Algebra Combinatorics Discrete Structures and Applications 7 (2): 195-207. https://doi.org/10.13069/jacodesmath.729477.
EndNote
Interlando C, Khathurıa K, Rohrer N, Rosenthal J, Weger V (May 1, 2020) Generalization of the ball-collision algorithm. Journal of Algebra Combinatorics Discrete Structures and Applications 7 2 195–207.
IEEE
[1]C. Interlando, K. Khathurıa, N. Rohrer, J. Rosenthal, and V. Weger, “Generalization of the ball-collision algorithm”, Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 7, no. 2, pp. 195–207, May 2020, doi: 10.13069/jacodesmath.729477.
ISNAD
Interlando, Carmelo - Khathurıa, Karan - Rohrer, Nicole - Rosenthal, Joachim - Weger, Violetta. “Generalization of the Ball-Collision Algorithm”. Journal of Algebra Combinatorics Discrete Structures and Applications 7/2 (May 1, 2020): 195-207. https://doi.org/10.13069/jacodesmath.729477.
JAMA
1.Interlando C, Khathurıa K, Rohrer N, Rosenthal J, Weger V. Generalization of the ball-collision algorithm. Journal of Algebra Combinatorics Discrete Structures and Applications. 2020;7:195–207.
MLA
Interlando, Carmelo, et al. “Generalization of the Ball-Collision Algorithm”. Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 7, no. 2, May 2020, pp. 195-07, doi:10.13069/jacodesmath.729477.
Vancouver
1.Carmelo Interlando, Karan Khathurıa, Nicole Rohrer, Joachim Rosenthal, Violetta Weger. Generalization of the ball-collision algorithm. Journal of Algebra Combinatorics Discrete Structures and Applications. 2020 May 1;7(2):195-207. doi:10.13069/jacodesmath.729477

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