AbstractThis article reviews some of the principal and recently-discovered lower and upper bounds on the maximum size of (n,r)-arcs in PG(2,q), sets of n points with at most r points on a line. Some of the upper bounds are used to improve the Griesmer bound for linear codes in certain cases. Also, a table is included showing the current best upper and lower bounds for q⩽19, and a number of open problems are discussed
Abstract. An (n, r)-arc is a set of n points of a projective plane such that some r, but no r + 1 of...
It is shown that the parameters of a linear code over Fq of length n, dimension k, minimum weight d,...
It is shown that the parameters of a linear code over Fq of length n, dimension k, minimum weight d,...
This article reviews some of the principal and recently-discovered lower and upper bounds on the max...
AbstractThis article reviews some of the principal and recently-discovered lower and upper bounds on...
An $(n, r)$-arc is a set of $n$ points of a projective plane such that some $r$, but no $r+1$ of the...
An $(n, r)$-arc is a set of $n$ points of a projective plane such that some $r$, but no $r+1$ of the...
An $(n, r)$-arc is a set of $n$ points of a projective plane such that some $r$, but no $r+1$ of the...
AbstractA (k,r)-arc is a set of k points of a projective plane such that some r, but no r+1 of them,...
Let C be a code of length k over an alphabet A of size q greather or equal 2. Having chosen m with 2...
Let C be a code of length k over an alphabet A of size q greather or equal 2. Having chosen m with 2...
Let C be a code of length k over an alphabet A of size q greather or equal 2. Having chosen m with 2...
We prove that 15 is the maximal size of a 3-arc in the projective plane of order 8. 1 Introduction ...
This paper examines subsets with at most n points on a line in the projective plane π q = PG(2, q). ...
AbstractNew upper bounds on the smallest size t2(2,q) of a complete arc in the projective plane PG(2...
Abstract. An (n, r)-arc is a set of n points of a projective plane such that some r, but no r + 1 of...
It is shown that the parameters of a linear code over Fq of length n, dimension k, minimum weight d,...
It is shown that the parameters of a linear code over Fq of length n, dimension k, minimum weight d,...
This article reviews some of the principal and recently-discovered lower and upper bounds on the max...
AbstractThis article reviews some of the principal and recently-discovered lower and upper bounds on...
An $(n, r)$-arc is a set of $n$ points of a projective plane such that some $r$, but no $r+1$ of the...
An $(n, r)$-arc is a set of $n$ points of a projective plane such that some $r$, but no $r+1$ of the...
An $(n, r)$-arc is a set of $n$ points of a projective plane such that some $r$, but no $r+1$ of the...
AbstractA (k,r)-arc is a set of k points of a projective plane such that some r, but no r+1 of them,...
Let C be a code of length k over an alphabet A of size q greather or equal 2. Having chosen m with 2...
Let C be a code of length k over an alphabet A of size q greather or equal 2. Having chosen m with 2...
Let C be a code of length k over an alphabet A of size q greather or equal 2. Having chosen m with 2...
We prove that 15 is the maximal size of a 3-arc in the projective plane of order 8. 1 Introduction ...
This paper examines subsets with at most n points on a line in the projective plane π q = PG(2, q). ...
AbstractNew upper bounds on the smallest size t2(2,q) of a complete arc in the projective plane PG(2...
Abstract. An (n, r)-arc is a set of n points of a projective plane such that some r, but no r + 1 of...
It is shown that the parameters of a linear code over Fq of length n, dimension k, minimum weight d,...
It is shown that the parameters of a linear code over Fq of length n, dimension k, minimum weight d,...
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