Improved lower bound on the number of balanced symmetric functions over \(\text{GF}(p)\). (English) Zbl 1170.94012
Summary: The lower bound on the number of \(n\)-variable balanced symmetric functions over finite fields \(\text{GF}(p)\) presented by T. W. Cusick, Y. Li and P. Stănică [IEEE Trans. Inf. Theory 54, No. 3, 1304–1307 (2008)] is improved in this paper. An equivalent characterization is also presented for the general case.
MSC:
| 94A60 | Cryptography |
| 06E30 | Boolean functions |
| 11T71 | Algebraic coding theory; cryptography (number-theoretic aspects) |
References:
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