This coding and decoding method uses linear forward error correction (FEC) codes defined on Galois field of order q, GF(q), where q is prime, in order to accommodate higher-order modulation over high-SNR channels. Application of GF(2) and GF(3) linear trellis codes together with BPSK, ...
In addition, quantum stabilizer codes are investigated from the classical codes. Finally, quantum stabilizer codes, which are able to correct one error and detect two errors in quantum information channel, have been explained in detail to show the practicality of this construction....
9. The squarer module as specified in Claim 1 wherein said I (x) function is a polynomial. 10. The squarer module as specified in Claim 8 wherein said squarer is implemented in XOR gates and latches. 11. The squarer module as specified in Claim 10 wherein said squarer is imple...
Inversion functions, in particular, play an essential role in modern ciphers. Many ISO/IEC standard ciphers, such as AES and Camellia, employ an inversion function over GF(28) in substitution functions [1, 9]. For example, SubBytes of AES consists of an inversion over GF(28) (i.e., S...
Even if a jamming signal is mixed in, the receiver masks the signal as much as possible so that it can receive satellite signals normally. In this product, the Anti-Jamming function is operating by default, and it is possible to mask up to eight jamming signals. It is a signal generated...
(and particularly multiplication in Galois Fields) is one in which a derived mathematical algorithm in some Galois Field is implemented using logic elements to obtain-a desired function or result from the system. A multiplication operation performed in Galois Fields is implemented using logic elements...
Calderbank A R, Rains E M, Shor P W and Sloane N J A, Quantum error correction via codes over GF (4) in LANL e-print quant-ph/9608006, http://xxx.lanl.gov (1996), To appear in IEEE Transactions on Information Theory.Calderbank, A. R., Rains, E. M., Shor, P. W. & ...
Even if a jamming signal is mixed in, the receiver masks the signal as much as possible so that it can receive satellite signals normally. In this product, the Anti-Jamming function is operating by default, and it is possible to mask up to eight jamming signals. It is a signal generated...
We proposed a template-based height correction method that combined the building height information derived from the GF-7 stereo image with the slope angle of the pitched roof and the shape parameters of the building footprint. Finally, the buildings in the study area were coded into fine-...