Rekab-Eslami, MortezaEsmaeili, MortezaGulliver, Thomas Aaron2018-07-192018-07-1920172017Rekab-Eslami, M.; Esmaeili, M.; & Gulliver, T. A. (2017). Multicast convolutional network codes via local encoding kernels. IEEE Access, 5, 6464-6470.https://doi.org/10.1109/ACCESS.2017.2689781http://hdl.handle.net/1828/9723A convolutional network (CN) code can be described by either global encoding kernels (GEKs) or local encoding kernels (LEKs). In the literature, the multicast property of a CN code is described using GEKs, so the design algorithms for multicast CN codes employ GEKs to check this property. For cyclic networks, using GEKs makes the design algorithms time-consuming. In this paper, a new approach is proposed for the design of multicast CN codes for networks with cycles. First, a formula is presented to describe the multicast property using LEKs rather than GEKs. Then, this formula is used to develop a design algorithm for multicast CN codes. This algorithm does not use GEKs, which makes it more efficient than GEK-based algorithms, particularly for large cyclic networks.encyclic networkmulticastedge-disjoint cyclesflowlocal encoding kernelArticleDepartment of Electrical and Computer Engineering