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On Solvability of a System of Two Boolean Linear Equations

In: Number Theory: New York Seminar 1991–1995

Author

Listed:
  • Gregory Freiman

    (School of Mathematics, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University)

Abstract

The solvability of a system of two boolean linear equations is considered. The methods of analytical number theory allow us to characterize the set of right-hand sides for which the system has solutions. A new approach is applicable to systems whose coefficients are bounded relative to the number of unknowns and whose right-hand sides are in the certain wide neighborhood of the middle point of the sum of coefficients (unlike the dynamic programming which is well suited only for small right-hand sides). The new method can also be used to design efficient algorithms.

Suggested Citation

  • Gregory Freiman, 1996. "On Solvability of a System of Two Boolean Linear Equations," Springer Books, in: David V. Chudnovsky & Gregory V. Chudnovsky & Melvyn B. Nathanson (ed.), Number Theory: New York Seminar 1991–1995, chapter 10, pages 135-150, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-2418-1_10
    DOI: 10.1007/978-1-4612-2418-1_10
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