On the Weight Distribution of the Dual of some Cyclic Codes with Two Non Conjugated Zeros
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| Format: | Artículo científico |
| Language: | en |
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Universidad Nacional Autónoma de México
2011
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| _version_ | 1876441817247907840 |
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| author | C.A. Vázquez-Fernández |
| author_facet | C.A. Vázquez-Fernández |
| contents | On the Weight Distribution of the Dual of some Cyclic Codes with Two Non Conjugated Zeros C.A. Vázquez-Fernández G. Vega-Hernández Ingeniería cyclic codes Coding theory exponential sums weight distribution linear recurring sequences An important family of codes for error control in digital communications are the so-called cyclic codes; therefore, finding the weight distribution of a q-ary cyclic code C is not only a problem of theoretical interest, but also of practical importance. Typically, when the finite field q is a prime field, the problem is handled by expressing the Hamming weight of each codeword in C by means of certain combination of exponential sums. In this work, we will present a new method for computing the weight distribution of the dual of some cyclic codes with two non conjugated zeros. As we will see, such distribution is also given by means of the evaluation of certain exponential sums, however, such evaluation is only needed to be done over a subset. Moreover, this method has the advantage of flexibility, in the sense that it can also be applied to cyclic codes over finite fields of non prime order. 2011 artículo científico 1665-6423 https://www.redalyc.org/articulo.oa?id=47419311003 en http://www.redalyc.org/revista.oa?id=474 Journal of Applied Research and Technology application/pdf Universidad Nacional Autónoma de México Journal of Applied Research and Technology (México) Num.1 Vol.9 |
| format | Artículo científico |
| id | redalyc_47419311003 |
| institution | Redalyc |
| language | en |
| publishDate | 2011 |
| publisher | Universidad Nacional Autónoma de México |
| spellingShingle | On the Weight Distribution of the Dual of some Cyclic Codes with Two Non Conjugated Zeros C.A. Vázquez-Fernández Ingeniería cyclic codes Coding theory exponential sums weight distribution linear recurring sequences On the Weight Distribution of the Dual of some Cyclic Codes with Two Non Conjugated Zeros C.A. Vázquez-Fernández G. Vega-Hernández Ingeniería cyclic codes Coding theory exponential sums weight distribution linear recurring sequences An important family of codes for error control in digital communications are the so-called cyclic codes; therefore, finding the weight distribution of a q-ary cyclic code C is not only a problem of theoretical interest, but also of practical importance. Typically, when the finite field q is a prime field, the problem is handled by expressing the Hamming weight of each codeword in C by means of certain combination of exponential sums. In this work, we will present a new method for computing the weight distribution of the dual of some cyclic codes with two non conjugated zeros. As we will see, such distribution is also given by means of the evaluation of certain exponential sums, however, such evaluation is only needed to be done over a subset. Moreover, this method has the advantage of flexibility, in the sense that it can also be applied to cyclic codes over finite fields of non prime order. 2011 artículo científico 1665-6423 https://www.redalyc.org/articulo.oa?id=47419311003 en http://www.redalyc.org/revista.oa?id=474 Journal of Applied Research and Technology application/pdf Universidad Nacional Autónoma de México Journal of Applied Research and Technology (México) Num.1 Vol.9 |
| title | On the Weight Distribution of the Dual of some Cyclic Codes with Two Non Conjugated Zeros |
| topic | Ingeniería cyclic codes Coding theory exponential sums weight distribution linear recurring sequences |
| url | https://www.redalyc.org/articulo.oa?id=47419311003 |