TY - JOUR
AU1 - MASOL, V. I.
AB -  Random Oper. & Stock Eqs., Vol. 1, No. 3, pp. 287-292 (1993) O VSP 1993 The asymptotics of the number of fc-dimensional subspaces of minimal weight over a finite field V. I. MASOL Department of Mechanics and Mathematics, Kyjiv University, 25201 7 Kyjiv, Ukraine Received for ROSE 25 May 1992 Abstract--Prom the totality of ^-dimensional subspaces of an -dimensional vector space over a finite field, one subspace is chosen randomly. The asymptotical behaviour (n --> oo) of the probability that this subspace will be of minimal weight is established. It is well known [1] that the number of fc-dimensional subspaces V* in the n-dimensional vector space Vn over a finite field GF(q) which consists of q elements (q is a degree of a prime number) is - ("-* -W'' -O· jsQ (l) Let ] =1, n ^ 0. The number of non-zero components of the vector v E Vn is said to be the weight of the vector v. The minimal weight of a non-zero vector v £ V* is called the weight of thefc-dimensionalsubspace V* of the space Vn, l ^ k ^ n. Later on ^*|w) denotes the - dimensional subspace of weight w, V(*|u;) ! 
TI - The asymptotics of the number of k -dimensional subspaces of minimal weight over a finite field
JF - Random Operators and Stochastic Equations
DO - 10.1515/rose.1993.1.3.287
DA - 1993-01-01
UR - https://www.deepdyve.com/lp/de-gruyter/the-asymptotics-of-the-number-of-k-dimensional-subspaces-of-minimal-MG8Lc10ymU
SP - 287
EP - 292
VL - 1
IS - 3
DP - DeepDyve
ER -