I can't immediately find a definitive attribution, but David MacKay seems to have coined the name (https://books.google.com/books?id=AKuMj4PN_EMC&q=Berlekamp's%

I can't immediately find a definitive attribution, but David MacKay seems to have coined the name (https://books.google.com/books?id=AKuMj4PN_EMC&q=Berlekamp's%20Bat https://books.google.com/books?id=AKuMj4PN_EMC&q=Berlekamp's...), and both were at the ECC Design Center (http://www.eccdesigncenter.com/researchers http://www.eccdesigncenter.com/researchers), so it seems reasonably likely. It appears to be a description of the geometry of code-word space with respect to the Hamming metric.