Abstract: In this paper, we prove that the binary images of generalized Reed-Solomon (RS) codes are capacity-achieving over binary-input output-symmetric channels, in ...

From slicing through foes in fierce duels to resupplying your arsenal with fresh equipment, the game thrives on a balance of skill and strategy. But if you want to get ahead without grinding endlessly ...

Abstract: The existence of optimal binary self-orthogonal codes has been well characterized. In this paper, we develop general methods involving residual codes and the MacWilliams identities to prove ...