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math.RA2017★ 5 cited
The Extension Theorem for Bi-invariant Weights over Frobenius Rings and Frobenius Bimodules
Oliver W. Gnilke, Marcus Greferath, Thomas Honold +2
We give a sufficient condition for a bi-invariant weight on a Frobenius bimodule to satisfy the extension property. This condition applies to bi-invariant weights on a finite Frobe…
math.RA2013
MacWilliams' Extension Theorem for Bi-Invariant Weights over Finite Principal Ideal Rings
Marcus Greferath, Thomas Honold, Cathy Mc Fadden +2
A finite ring R and a weight w on R satisfy the Extension Property if every R-linear w-isometry between two R-linear codes in R^n extends to a monomial transformation of R^n that p…