Is there a simple method for finding all the units in a polynomial quotient ring over a finite field? For example:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

{F_2[x] \over x^7-1}

[/tex]

I can see the easy ones like 1, and all power of x, but I wanted a general rule or method for finding all of them if it exists (besides testing each individually, which can get tedious for big rings).

Thanks.

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Finding units in polynomial quotient rings

Loading...

Similar Threads for Finding units polynomial | Date |
---|---|

I How to find admissible functions for a domain? | Jan 31, 2018 |

I How to find the matrix of the derivative endomorphism? | Oct 22, 2017 |

How do you find the coordinate of a vector with the unit vector? | Feb 26, 2012 |

Finding all units in Z[sqrt(2)] | Feb 28, 2010 |

Help finding units in a ring | Apr 13, 2004 |

**Physics Forums - The Fusion of Science and Community**