LIMIT DISTRIBUTION OF A RANK OF RANDOM SATURATED MATRIX ABOVE A FIELD GF(2)

Authors

  • C.В. Поперешняк National Aviation University

DOI:

https://doi.org/10.18372/2306-1472.53.3516

Keywords:

field GF (2), limit distribution of rank, random matrix, saturated matrix

Abstract

 In this paper a theorem on the asymptotic   distribution of rank of random matrices in the field GF (2) of   independent random  -D lines, the absence in it of unity lines and the assumption that the difference between the number of rows   and number of columns   of the matrix is a fixed number of random characters,  .

Author Biography

C.В. Поперешняк, National Aviation University

к.ф.-м.н., доц.

References

Севастьянов Б.А. Распределение вероятностей перманентов случайных матриц с независимыми элементами в поле GF(p) / Б.А. Севастьянов // Труды по дискретной математике. - М.: Физ.-мат. лит., 2000. - 3. - С. 235-248.

Cooper C. On the Rank of Random Matrices / C. Cooper // Random Structures and Algorithms. - 2000. - P. 209-232.

Коваленко И.Н. Об одной предельной теореме для определителей в классе булевых функций / И.Н. Коваленко // Доклады АН СССР. - 1965. - 161, № 3. - С. 517-519.

How to Cite

Поперешняк C. (2012). LIMIT DISTRIBUTION OF A RANK OF RANDOM SATURATED MATRIX ABOVE A FIELD GF(2). Proceedings of National Aviation University, 53(4), 96–100. https://doi.org/10.18372/2306-1472.53.3516

Issue

Section

MODERN AVIATION AND SPACE TEHNOLOGY