Quantum codes from cyclic codes over F3 + μF3 + υF3 + μυ F3

Mehmet ?zen; N. Tu?ba ?zzaim; Halit ?nce

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Quantum codes from cyclic codes over F3 + μF3 + υF3 + μυ F3

机译：来自F3 +μF3+υF3+μμF3上的循环码的量子码

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Inthispaper,itwillbearguedthatstructureofcycliccodesoverF3+μF3+υF3+μυF3whereu2=1,v2=1anduv=vuforarbitrarylengthn.WedefineanewGraymapwhichisadistancepreservingmap.Byusingdecompositiontheory,wefindgeneratorpolynomialsofcycliccodesoverF3+μF3+υF3+μυF3andobtaintheresultthatcycliccodesoverF3+μF3+υF3+μυF3areprincipallygenerated.Further,usingtheseresultswedeterminetheparametersofquantumcodeswhichconstructedfromcycliccodesoverF3+μF3+υF3+μυF3.Wepresentsomeoftheresultsofcomputersearch...

机译：Inthispaper，itwillbearguedthatstructureofcycliccodesoverF3 +μF3+υF3+μυF3whereu2= 1，V2 = 1anduv = vuforarbitrarylengthn.WedefineanewGraymapwhichisadistancepreservingmap.Byusingdecompositiontheory，wefindgeneratorpolynomialsofcycliccodesoverF3 +μF3+υF3+μυF3andobtaintheresultthatcycliccodesoverF3+μF3+υF3+μυF3areprincipallygenerated.Further，usingtheseresultswedeterminetheparametersofquantumcodeswhichconstructedfromcycliccodesoverF3 +μF3+υF3+μυF3.Wepresentsomeoftheresultsofcomputersearch...

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《Journal of Physics: Conference Series 》 |2016年第1期| 共页
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Mehmet ?zen; N. Tu?ba ?zzaim; Halit ?nce;
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Quantum codes from cyclic codes over F3 + μF3 + υF3 + μυ F3

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