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How can I calculate row space of a matrix in a finite field?

murat guzeltepe
Posted 11 years ago

Dear All, How can I calculate row space of a matrix in a finite field? For example, assume that we study over the field Z_5 and we have a 3X5 matrix. So, I want to obtain the row space of this matrix that this row space have 5^3=125 elements. How can I manage it?
POSTED BY: murat guzeltepe
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murat guzeltepe
murat guzeltepe
Posted 11 years ago

Dear Daniel,

Thank you very much for the response.

This solved my problem.

POSTED BY: murat guzeltepe
POSTED BY: Daniel Lichtblau
murat guzeltepe
murat guzeltepe
Posted 11 years ago

Dear Daniel,

Thank you very much for the response.

I want to explain my problem again. So, I added my request as a pdf file.

Thank in advance

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POSTED BY: murat guzeltepe

A basis for the row space can be computed as RowReduce[matrix, Modulus->5].

The part about 125 elements is not clear to me. It looks like confusion between a linear algebra basis in Z_5 and a representation of elements in GF(5^3).
POSTED BY: Daniel Lichtblau
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