Security Enhancement for Multicast over Internet of Things by Dynamically Constructed Fountain Codes

Algorithm 2

DC fountain-encoding procedures .

Compute the sum of each row as . Find the maximum value in and records one of

the corresponding rowers as .

Traverse K lines to search for several lines whose rowers are denoted as to meet the

following conditions:

(i) Assume the matrix made by and is defined as . The sum of each column for

must be less than 2.

The encoded fountain packet is the exclusive-or of:

,

where denotes the encoded fountain packet during -th slot.