The beautiful mathematical and geometric structure of the code is remarkable, as most high-rate quantum codes have complicated structures. Goto emphasizes that in order for the new codes to result in ...

"Our quantum error-correcting code has a greater than 1/2 code rate, targeting hundreds of thousands of logical qubits," explains Kasai. "Moreover, its decoding complexity is proportional to the ...

Several techniques can be used to efficiently implement a Hamming coder for single-bit error correction and double-bit error detection. Many error-correcting codes ...

While noise can show up anywhere, ECC also can correct deterministic errors, such as those caused by faulty cells. This makes it possible to develop a design and test strategy that leverages some of ...

The FEC on a CD uses interleaving and layering. A short {32, 28} code is used to correct errors read from the track. Any it cannot correct are marked as erasures and the result is de-interleaved. The ...

FEC (forward error correction), a critical component of many modern digital-communications applications, turns otherwise-unusable links into real and practical ...