Opened 11 years ago

Closed 10 years ago

## #12007 closed defect (duplicate)

# creation of extension field of finite field needs more parameter checking — at Version 4

Reported by: | Mariah Lennox | Owned by: | Alex Ghitza |
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Priority: | major | Milestone: | sage-duplicate/invalid/wontfix |

Component: | basic arithmetic | Keywords: | |

Cc: | Merged in: | ||

Authors: | Reviewers: | David Roe | |

Report Upstream: | N/A | Work issues: | |

Branch: | Commit: | ||

Dependencies: | Stopgaps: |

### Description (last modified by )

In sage-4.7.2,

sage: F = GF(2) sage: P.<x> = PolynomialRing(F) sage: H.<h> = GF(2^8, name='h', modulus=x^3+x+1) # 2^8 rather than 2^3 sage: sage: len(set([h^i for i in xrange(10000)])) 21

H is something - but it is not a field!

Fixed by #11784.

### Change History (4)

### comment:1 Changed 11 years ago by

### comment:2 Changed 10 years ago by

Status: | new → needs_review |
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### comment:3 Changed 10 years ago by

Milestone: | sage-5.1 → sage-duplicate/invalid/wontfix |
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Status: | needs_review → positive_review |

### comment:4 Changed 10 years ago by

Description: | modified (diff) |
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Resolution: | → duplicate |

Reviewers: | → David Roe |

Status: | positive_review → closed |

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This is a duplicate of #11784 that needs review :)