دورية أكاديمية

Weight distribution of random linear codes and Krawtchouk polynomials.

التفاصيل البيبلوغرافية
العنوان: Weight distribution of random linear codes and Krawtchouk polynomials.
المؤلفون: Samorodnitsky, Alex
المصدر: Random Structures & Algorithms; Sep2024, Vol. 65 Issue 2, p261-274, 14p
مصطلحات موضوعية: LINEAR orderings, HAMMING weight, RANDOM variables, WORD frequency, POLYNOMIALS
مستخلص: For 0<λ<1$$ 0<\lambda <1 $$ and n→∞$$ n\to \infty $$ pick uniformly at random λn$$ \lambda n $$ vectors in {0,1} n$$ {\left\{0,1\right\}}^n $$ and let C$$ C $$ be the orthogonal complement of their span. Given 0<γ<12$$ 0<\gamma <\frac{1}{2} $$ with 0<λ
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قاعدة البيانات: Complementary Index
الوصف
تدمد:10429832
DOI:10.1002/rsa.21214