Opened 11 years ago

Closed 10 years ago

#9869 closed defect (duplicate)

finite field bug

Reported by: mariah Owned by: AlexGhitza
Priority: major Milestone: sage-duplicate/invalid/wontfix
Component: basic arithmetic Keywords:
Cc: Merged in:
Authors: Mariah Lenox Reviewers:
Report Upstream: N/A Work issues:
Branch: Commit:
Dependencies: Stopgaps:

Status badges


# Demonstrate a finite field bug in which
# a product of nonzero elements is equal to 0 
# (which should not happen in a field)
# This is the smallest example I could find. It seems salient that
# the square of p is bigger than a 32-bit C integer. Larger values
# for p also exhibit the bug, smaller ones do not.

p = 2^16 + 1

# Create a quadratic field extension
K.<alpha> = GF(p^2)

# Choose some non-zero element of K, use the random_element
# method.
x = K(0)
while x == K(0):
  x = K.random_element()

K.<alpha> = GF(p^2)  # this line is necessary for bug
x_coerce = K(x)
print 2*x_coerce  # prints zero

Change History (1)

comment:1 Changed 10 years ago by robertwb

  • Milestone set to sage-duplicate/invalid/wontfix
  • Resolution set to duplicate
  • Status changed from new to closed

Duplicate of #10045 .

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