Kissing number of codes: A survey - Equipe Secure and Safe Hardware Access content directly
Book Sections Year : 2023

Kissing number of codes: A survey

Yi Liu
  • Function : Author
  • PersonId : 1108503
Wei Cheng
Olivier Rioul
Sylvain Guilley
Patrick Solé
  • Function : Author
  • PersonId : 1100094


The kissing number of a code is the average number of pairs of codewords at minimum distance from each other. It has fundamental applications in determining codes performances. Besides, a recent interest has arisen from the field of side- channel analysis of algorithms handling sensitive information (e.g., cryptographic keys). Namely, when code-base masking protections are applied, their performance in terms of attacker’s signal-to-noise ratio or mutual information is proportional to the kissing number of the masking code. Therefore the kissing number is also a security metric for a given minimum distance in side-channel protected implementation, as it is in codes performance evaluation. It is known exactly for some classical families of codes. To estimate it in general, two types of bounds are given. Linear programming, either numerically or by the polynomial method is the most versatile and the more precise. Spectral graph theory provides bounds on the multiplicity of the subdominant eigenvalue that are easier to state.
Fichier principal
Vignette du fichier
202111liuchengrioulguilleysole.pdf (260.77 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03718730 , version 1 (12-08-2022)


  • HAL Id : hal-03718730 , version 1


Yi Liu, Wei Cheng, Olivier Rioul, Sylvain Guilley, Patrick Solé. Kissing number of codes: A survey. VIASM. Coding Theory and applications (tentative title), Springer, inPress, Lecture Notes in Mathematics. ⟨hal-03718730⟩
530 View
127 Download


Gmail Mastodon Facebook X LinkedIn More