In this paper we present a concrete algebraic construction of a novel class of convolutional
codes. These codes are built upon generalized Vandermonde matrices and therefore can …

Convolutional codes are essential in a wide range of practical applications due to their
efficient non-algebraic decoding algorithms. In this paper, we first propose a new family of …

Maximum distance profile (MDP) convolutional codes have been proven to be very suitable
for transmission over an erasure channel. In addition, the subclass of complete MDP …

We construct a family of convolutional codes with degree that have a maximum distance
profile. The field size required for our construction is, which improves upon the known …

Convolutional codes with a maximum distance profile attain the largest possible column
distances for the maximum number of time instants and thus have outstanding error …

Noncatastrophic encoders are an important class of polynomial generator matrices of
convolutional codes. When these polynomials have coefficients in a finite field, these …

This thesis pertains to the theory of error-correcting codes. It consists of two parts: in the first
part we focus on some algebraic and geometric aspects of minimal linear codes and in the …

In convolutional coding, message sequences are blocks of length 𝑘 that are converted into
code sequences of length 𝑛 under the coding process, where 𝑘< 𝑛. This assignment …

همان‌طور که می‌دانیم، کدگذاری پیچشی یکی از دو نوع اصلی کدگذاری کانال است که به طرز
گسترده‌ای برای تشخیص و تصحیح خطا مورد استفاده قرار می‌گیرد. در کدگذاری پیچشی، خروجی …‎