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\Communications Toolbox

CommunicationsToolbox: ( )

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GFLINEQ
Ax = b

! 2.0 Communications, (MATLAB 6.1). 2.1 (MATLAB 6.5) , ( ), filter, GF(p), p  , .

:

x = gflineq(A,b);
x = gflineq(A,b,p);
[x,vld] = gflineq(...);

:

  • x = gflineq(A,b)

A x = b GF(2). A  , k n , b  k, x n. A, x b 0 1. , x .

  • x = gflineq(A,b,p)

A x = b GF(p), p  . A  , k n , b  k, x n. A, x b , 0 p-1.

  • [x,vld] = gflineq(...)

vld, . vld = 1, x ; vld = 0, .

:

GF(2).

A=[1 0 1;
     1 1 0;
     1 1 1];

%,

[x,vld] = gflineq(A,[1;0;0])
x =
     1
     1
     0
vld =
     1

.

[x2,vld2] = gflineq(zeros(3,3),[1;0;0])

This linear equation has no solution.

x2 =
     []
vld2 =
     0

:

gflineq .

: gfadd, gfdiv, gfroots, gfdeconv, gfconv

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:


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