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Row reduction modulo prime powers

Has any kind of row reduction been implemented modulo prime powers? Right now I'm simply trying to determine if a particular element of (Z/9Z)^d is in the span of a handful of other elements in this space.

I tried to do this by working with matrices over pAdicField(3,2), but this didn't work. (I guess some division by 3 messes things up.)

Is there anyway to do this without writing my own row reduction code??

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No.2 Revision

Row reduction modulo prime powers

Has any kind of row reduction been implemented modulo prime powers? Right now I'm simply trying to determine if a particular element of (Z/9Z)^d is in the span of a handful of other elements in this space.

I tried to do this by working with matrices over pAdicField(3,2), but this didn't work. (I guess some division by 3 messes things up.)

Is there anyway to do this without writing my own row reduction code??

click to hide/show revision 3
No.3 Revision

Row reduction modulo prime powers

Has any kind of row reduction been implemented modulo prime powers? Right now I'm simply trying to determine if write a particular element of (Z/9Z)^d is in the span as a linear combination of a handful of other elements in this space.space. (I happen to know for other reasons that the original element is in the span of these handful of elements.)

I tried to do this by working with matrices over pAdicField(3,2), but this didn't work. (I guess some division by 3 messes things up.)

Is there anyway to do this without writing my own row reduction code??