How many weights can a cyclic code have
Web12 nov. 2024 · The binary cyclic code \mathcal {C}_ { (1,v)} with v=\frac {2^ {m}-1} {2^ {t}+1} was studied recently. In [ 22 ], Zeng, Fan, Zeng and Qi showed that \mathcal {C}_ { (1,v)} … WebUpper and lower bounds on the largest number of weights in a cyclic code of given length, dimension and alphabet are given. An application to irreducible cyclic codes is …
How many weights can a cyclic code have
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WebDirected acyclic graph representations of partial orderings have many applications in scheduling for systems of tasks with ordering constraints. An important class of problems of this type concern collections of objects that need to be updated, such as the cells of a spreadsheet after one of the cells has been changed, or the object files of a piece of … WebAbstract — Cyclic codes of dimension 2 over a finite field are shown to have at most two nonzero weights. We compute their weight distribution, and give a condition on the roots of their check polynomials for them to be maximum distance separable code. Key words — Two-weight codes, Irreducible Cyclic codes, MDS codes, Linear recurrences.
Web23 jul. 2024 · Upper and lower bounds on the largest number of weights in a cyclic code of given length, dimension and alphabet are given. An application to irreducible cyclic … http://users.cecs.anu.edu.au/~Salman.Durrani/_teaching/P08_BlockCodes_Sol.pdf
Web21 jun. 2024 · Naive Approach: The simplest approach is to try deleting all possible combination of sequence of edges from the given graph one by one and for each combination, count the number of removals required to make the graph acyclic. Finally, among these combinations, choose the one which deletes the minimum number of …
Web2 mei 2024 · My goal is to find a generator polynomial for a binary [ 15, 5, d] cyclic code that corrects all errors with weight less than or equal to 3. I have to find a degree 10 monic polynomial that divides x 15 − 1 ( mod 2) and has weight 7. If 15 and 5 were coprime I would know how to factor x 15 − 1 using cyclotomic theory. But that is not the case. ipad close safari windowWebInternational audienceUpper and lower bounds on the largest number of weights in a cyclic code of given length, dimension and alphabet are given. An application to irreducible cyclic codes is considered. Sharper upper bounds are given for the special open market operations and money supplyhttp://math.ucdenver.edu/~wcherowi/courses/m5410/m5410fin.html open market operations is the quizletWeb♛ Smiling shark Professional Lighting Technology Shopee Official Store♛ 🎉🎉 Dear customer, welcome to our store, all products sold in this store are in stock ⚡You can get coupons when you place an order~There will be activities in the store from time to time, please pay more attention~ ⚡All products come from our own factory, self-built warehouse, stable … ipad closing windowsWeb21 jun. 2024 · How many weights can a cyclic code have ? Minjia Shi, Xiaoxiao Li, Alessandro Neri, Patrick Solé Upper and lower bounds on the largest number of weights … open market policy definition economicsWebInternational audienceUpper and lower bounds on the largest number of weights in a cyclic code of given length, dimension and alphabet are given. An application to irreducible … open market operations take place whenWebthe largest number of nonzero weights a quasi-cyclic code of index gcd(‘;n), length n and dimension k over F q can have, and connect it to similar functions related to linear and … open market purchase of government bonds