Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let d/sub q/(n,k) be the maximum possible minimum Hamming distance of a q-ary [n,k,d]-code for given values of n and k. It is proved that d/sub 4/ (33,5)=22, d/sub 4/(49,5)=34, d/sub 4/(131,5)=96, d/sub 4/(142,5)=104, d/sub 4/(147,5)=108, d/sub 4/(152,5)=112, d/sub 4/(158,5)=116, d/sub 4/(176,5)/spl ges/129, d/sub 4/(180,5)/spl ges/132, d/sub 4/(190,5)/spl ges/140, d/sub 4/(195,5)=144, d/sub 4/(200,5)=148, d/sub 4/(205,5)=152, d/sub 4/(216,5)=160, d/sub 4/(227,5)=168, d/sub 4/(232,5)=172, d/sub 4/(237,5)=176, d/sub 4/(240,5)=178, d/sub 4/(242,5)=180, and d/sub 4/(247,5)=184. A survey of the results of recent work on bounds for quaternary linear codes in dimensions four and five is made and a table with lor and upper bounds for d/sub 4/(n,5) is presented.
['Iliya Boukliev', 'Rumen N. Daskalov', 'Stoyan N. Kapralov']
I am writing a research paper on a idea Optimal quaternary linear codes of dimension five
[{"from": "human", "value": "I am writing a research paper on a idea Optimal quaternary linear codes of dimension five"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let d/sub q/(n,k) be the maximum possible minimum Hamming distance of a q-ary [n,k,d]-code for given values of n and k. It is proved that d/sub 4/ (33,5)=22, d/sub 4/(49,5)=34, d/sub 4/(131,5)=96, d/sub 4/(142,5)=104, d/sub 4/(147,5)=108, d/sub 4/(152,5)=112, d/sub 4/(158,5)=116, d/sub 4/(176,5)/spl ges/129, d/sub 4/(180,5)/spl ges/132, d/sub 4/(190,5)/spl ges/140, d/sub 4/(195,5)=144, d/sub 4/(200,5)=148, d/sub 4/(205,5)=152, d/sub 4/(216,5)=160, d/sub 4/(227,5)=168, d/sub 4/(232,5)=172, d/sub 4/(237,5)=176, d/sub 4/(240,5)=178, d/sub 4/(242,5)=180, and d/sub 4/(247,5)=184. A survey of the results of recent work on bounds for quaternary linear codes in dimensions four and five is made and a table with lor and upper bounds for d/sub 4/(n,5) is presented."}]