The Schmidt–Sidorenko–Bossert scheme extends a low-rate Reed–Solomon code to an Interleaved Reed–Solomon code and achieves the decoding radius of Sudan’s original list decoding algorithm while the decoding result remains unambiguous. We adapt this result to the case of Generalized Reed– Solomon codes and calculate the parameters of the corresponding Interleaved Generalized Reed–Solomon code. Fu...

Economist Frank H. Knight (1885–1972) is commonly credited with defining the distinction between decisions under “risk” (known chance) and decisions under “uncertainty” (unmeasurable probability) in his 1921 book Risk, Uncertainty and Profit. A closer reading of Knight (1921) reveals a host of psychological insights beyond this risk-uncertainty distinction, many of which foreshadow revolutionar...

Deep holes play an important role in the decoding of generalized Reed-Solomon codes. Recently, Wu and Hong [11] found a new class of deep holes for standard Reed-Solomon codes. In the present paper, we give a concise method to obtain a new class of deep holes for generalized Reed-Solomon codes. In particular, for standard Reed-Solomon codes, we get the new class of deep holes given in [11]. Li ...

The Solomon Sea is a key region of the southwest Pacific Ocean, connecting the thermocline subtropics to the equator via western boundary currents (WBCs).Modifications to watermasses are thought to occur in this region because of the significant mixing induced by internal tides, eddies, and the WBCs. Despite their potential influence on the equatorial Pacific thermocline temperature and salinit...

allameh fadlullah is known as the poet of the jurists and the jurist of the poets. in his diwan (collection of poems), he has addressed a variety of themes, including the prophet’s character. he believes that prophet muhammad was not a mere servant of allah. he was a transmitter of the massage and a connector of god and ummah (the islamic nation), rather than simply a connector of god and an in...

This application report describes a Reed Solomon decoder implementation on the TMS320C64x DSP family. Reed Solomon codes have been widely accepted as the preferred (ECC) error control coding scheme for ADSL networks, digital cellular phones and high-definition television systems. The reason for their widespread prevalence is their excellent robustness to burst errors. Programmable implementati...