Algorithm 1 Write-back operation of data blocks being stored into external main memory

Inputs:Data, Address

Outputs:Timestamps, Ciphertext, Signature

1: Data ← set of data blocks to write back ${data}_i$, $1\le i\le n$.

2: address ← set of memory physical ${address}_d$, $1\le d\le n$.

3: pre-calculation H = $AE{S}_k(0^{128})$, squaring operations, hash subkeys 1, H, $H^2$, $H^4$ are pre-stored in $H^k$ memory;

4: D-Cache miss, mapping address to physical address;

5: begin inputting four physical address blocks, counter generates timestamps (Ts), Ts++, are stored in Ts memory;

6: IV_seed = {address [127:96], $0^{64}$, timestamp [31:0]};

7: repeat: the four IV seed blocks are generated;

8: Using AES engine to generate key_stream, and storing the first block key_stream_B1 in register B1;

9: Ciphertext = Data XOR key_stream, then input ciphertext blocks to the GHash engine;

10: output: ciphertext blocks at another branch path are stored into the data zone of external memory;

11: until ciphertext blocks are computed in the GHash engine, signature = Tag XOR key_stream_B1;

12: output: integrity digital signature is stored into the signatures zone of external memory;