Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-Kernel Polar Codes: Concept and Design Principles   In this paper, we propose a new polar code construction by employing kernels
of different sizes in the Kronecker product of the transformation matrix, thus
generalizing the original construction by Arikan. The proposed multi-kernel
polar code allows for more flexibility in terms of the code length, moreover
allowing for various new design principles. We describe in detail encoding as
well as successive cancellation (SC) decoding and SC list (SCL) decoding, and
we provide a novel design method for the frozen set that allows to optimise the
performance under list decoding, as opposed to original relability-based code
design. Finally, we numerically demonstrate the advantage of multi-kernel polar
codes under the new design principles compared to punctured and shortened polar
codes.

33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th