Re: [sage-support] Grobner basis for linear codes

[David Joyner]

On Tue, Dec 6, 2016 at 12:21 PM, NITIN DARKUNDE  wrote:
> Respected Sir,
> Yes sir, I am supposed to calculate Grobner basis for an
> ideal in a polynomial ring in 35 variables with coefficients from GF(2).
>

Why don't you try it first using a code of length <10?

>
> On Dec 6, 2016 10:45 PM, "David Joyner"  wrote:
>>
>> On Mon, Dec 5, 2016 at 4:56 AM, NITIN DARKUNDE 
>> wrote:
>> > Dear group members,
>> > I am doing my research in algebraic coding theory. I
>> > have
>> > started using sage for computations of Grobner bases, but while doing it
>> > I
>> > have some difficulties.The paper I am reading has been attached
>> > herewith.
>> >  Attachment number 1 of this mail:On page number 486,
>> > authors have defined an ideal  in equation number 9 and 10 and by using
>> > this
>> > information and theorem 3.1, authors computed reduced Groebner basis of
>> > ternary Golay code(on page 487 of this paper). I constructed this ideal
>> > in
>> > equation 9 and 10 by using sage and also succeed to get its Grobner
>> > basis.
>> >  Attachment number 2 of this mail:Now I had taken
>> > another
>> > 6x35 generator matrix of some linear code over GF(2). I computed
>> > its(linear
>>
>>
>> Just to clarify, are you asking to compute the GB of an ideal in 35
>> variables?
>>
>> > code's) length, but while finding parity check matrix of this linear
>> > code(using command H=C.check_mat()), I am not getting the output or
>> > sometimes I get the output as string index out of range... Does it mean
>> > that
>> > size of matrix which is 29x35 is too large for sage to show its output.
>> > But
>> > still I want to see and get the output, Please help me in this
>> > context.Next
>> > question is related to finding Groebner basis of this ideal, as soon as
>> > I
>> > use the command I.groebner_basis(), I am not getting any output, whereas
>> > in
>> > second paragraph example(of this mail), I was getting the output,Please
>> > help
>> > me in this context.
>> >
>> > --
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>>
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>
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Re: [sage-support] Grobner basis for linear codes

[NITIN DARKUNDE]

Respected Sir,
Yes sir, I am supposed to calculate Grobner basis for
an ideal in a polynomial ring in 35 variables with coefficients from GF(2).

On Dec 6, 2016 10:45 PM, "David Joyner"  wrote:

> On Mon, Dec 5, 2016 at 4:56 AM, NITIN DARKUNDE 
> wrote:
> > Dear group members,
> > I am doing my research in algebraic coding theory. I have
> > started using sage for computations of Grobner bases, but while doing it
> I
> > have some difficulties.The paper I am reading has been attached herewith.
> >  Attachment number 1 of this mail:On page number 486,
> > authors have defined an ideal  in equation number 9 and 10 and by using
> this
> > information and theorem 3.1, authors computed reduced Groebner basis of
> > ternary Golay code(on page 487 of this paper). I constructed this ideal
> in
> > equation 9 and 10 by using sage and also succeed to get its Grobner
> basis.
> >  Attachment number 2 of this mail:Now I had taken another
> > 6x35 generator matrix of some linear code over GF(2). I computed
> its(linear
>
>
> Just to clarify, are you asking to compute the GB of an ideal in 35
> variables?
>
> > code's) length, but while finding parity check matrix of this linear
> > code(using command H=C.check_mat()), I am not getting the output or
> > sometimes I get the output as string index out of range... Does it mean
> that
> > size of matrix which is 29x35 is too large for sage to show its output.
> But
> > still I want to see and get the output, Please help me in this
> context.Next
> > question is related to finding Groebner basis of this ideal, as soon as I
> > use the command I.groebner_basis(), I am not getting any output, whereas
> in
> > second paragraph example(of this mail), I was getting the output,Please
> help
> > me in this context.
> >
> > --
> > You received this message because you are subscribed to the Google Groups
> > "sage-support" group.
> > To unsubscribe from this group and stop receiving emails from it, send an
> > email to sage-support+unsubscr...@googlegroups.com.
> > To post to this group, send email to sage-support@googlegroups.com.
> > Visit this group at https://groups.google.com/group/sage-support.
> > For more options, visit https://groups.google.com/d/optout.
>
> --
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>

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Re: [sage-support] Grobner basis for linear codes

[David Joyner]

On Mon, Dec 5, 2016 at 4:56 AM, NITIN DARKUNDE  wrote:
> Dear group members,
> I am doing my research in algebraic coding theory. I have
> started using sage for computations of Grobner bases, but while doing it I
> have some difficulties.The paper I am reading has been attached herewith.
>  Attachment number 1 of this mail:On page number 486,
> authors have defined an ideal  in equation number 9 and 10 and by using this
> information and theorem 3.1, authors computed reduced Groebner basis of
> ternary Golay code(on page 487 of this paper). I constructed this ideal in
> equation 9 and 10 by using sage and also succeed to get its Grobner basis.
>  Attachment number 2 of this mail:Now I had taken another
> 6x35 generator matrix of some linear code over GF(2). I computed its(linear


Just to clarify, are you asking to compute the GB of an ideal in 35 variables?

> code's) length, but while finding parity check matrix of this linear
> code(using command H=C.check_mat()), I am not getting the output or
> sometimes I get the output as string index out of range... Does it mean that
> size of matrix which is 29x35 is too large for sage to show its output. But
> still I want to see and get the output, Please help me in this context.Next
> question is related to finding Groebner basis of this ideal, as soon as I
> use the command I.groebner_basis(), I am not getting any output, whereas in
> second paragraph example(of this mail), I was getting the output,Please help
> me in this context.
>
> --
> You received this message because you are subscribed to the Google Groups
> "sage-support" group.
> To unsubscribe from this group and stop receiving emails from it, send an
> email to sage-support+unsubscr...@googlegroups.com.
> To post to this group, send email to sage-support@googlegroups.com.
> Visit this group at https://groups.google.com/group/sage-support.
> For more options, visit https://groups.google.com/d/optout.

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