A Parallel Decoding Algorithm for Short Polar Codes Based on Error Checking and Correcting

Table 1

The space and time complexity of each step in Algorithm 2.

Step number in Algorithm 2	Space complexity	Time complexity
(1)	𝑂(1)	𝑂(𝑁)
(2)	𝑂(𝑁log2𝑁)	𝑂(𝑁log2𝑁)
(3)	𝑂(𝑋0)	𝑂(𝑋1)
(4)–(7)	𝑂(𝑇0𝑁log2𝑁)	𝑂(𝑇0𝑁log2𝑁)
(8)	𝑂(1)	𝑂(𝑇0𝑁log2𝑁) or 𝑂(𝑇0𝑁)
(9)	𝑂(1)	𝑂(𝑁)