Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Avoiding bias in cards cryptography   We outline the need for stricter requirements for unconditionally secure
cryptographic protocols inspired by the Russian Cards problem. A new
requirement CA4 is proposed that checks for bias in single card occurrence in
announcements consisting of alternatives for players' holdings of cards. This
requirement CA4 is shown to be equivalent to an alternative requirement CA5.
All announcements found to satisfy CA4 are 2-designs. We also show that all
binary designs are 3-designs. Instead of avoiding bias in announcements
produced by such protocols, one may as well apply unbiased protocols such that
patterns in announcements become meaningless. We gave two examples of such
protocols for card deal parameters (3,3,1), i.e. two of the players hold three
cards, and the remaining player, playing the role of eavesdropper, holds a
single card.

31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th