Dwayne Walker, a New York-based designer, claimed to have created it for the music mogul’s record label.
Mr Walker accused the rapper of breach of contract and copyright infringement and demanded royalties for its use.
However, in a 32-page decision, the judge found a lack of evidence that the contract even existed. The decision was made by US district judge Andrew Carter in Manhattan.
Judge Carter ruled that Dwayne Walker wasn’t entitled to royalties under a contract reportedly signed by Roc-A-Fella co-founder, Damon “Dame” Dash.
He said only two people other than Mr Walker claimed to have seen the contract and their testimony wasn’t strong enough to be used.
“This leaves only plaintiff’s own self-serving testimony that he drafted the contract, that he and Dash signed it, and that he lost track of it in 1998,” the judge wrote.
“This testimony alone is not enough.”
Mr Walker says he plans to appeal against the decision, says his lawyer Gregory Berry.
The logo includes a superimposed “R” and has been used on items which have made hundreds of millions of dollars for Roc-A-Fella.
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