Two-Dimensional Key Table-Based Group Key Distribution in Advanced Metering Infrastructure

Algorithm 2

Generation of group key.

Step  1. DCU ← Smart meter (𝑆𝑛)

    𝑆𝑛_ID𝑛‖𝐸𝑥_Ele‖𝐸𝑦_Ele(𝑛=1,2,3,…,𝑛)

Step  2. DCU

    Duplicate check for smart meter 𝑆𝑛_ID𝑛

    Select group key generation element

     𝑆1_Ele,𝑆2_Ele,𝑆3_Ele,…,𝑆𝑛_Ele←𝑆1_Ele𝐸𝑥_Ele,𝐸𝑦_Ele,𝑆2_Ele𝐸𝑥_Ele,𝐸𝑦_Ele,𝑆3_Ele𝐸𝑥_Ele,𝐸𝑦_Ele,…,𝑆𝑛_Ele𝐸𝑥_Ele,𝐸𝑦_Ele

    Generate group key

     𝐾_𝑔=𝐻DCU_Ele‖𝑆1_Ele‖𝑆2_Ele‖𝑆3_Ele‖⋯‖𝑆𝑛_Ele

    Generate hash data to verify integrity

     𝐻₁=𝐻DCU_Ele⊕𝑆1_Ele⊕𝑆2_Ele⊕𝑆3_Ele⊕⋯⊕𝑆𝑛_Ele

    Caculate ALo_Ele (exclude 𝑆𝑚_Ele (𝐸𝑥, 𝐸𝑦)) (𝑚=1,2,3,…,𝑛)

     ALo_Ele=(DCU_Ele𝐸𝑥_Ele,𝐸𝑦_Ele‖𝑆1_Ele𝐸𝑥_Ele,𝐸𝑦_Ele‖𝑆2_Ele𝐸𝑥_Ele,𝐸𝑦_Ele‖⋯‖𝑆𝑛_Ele(𝐸𝑥_Ele,𝐸𝑦_Ele))−𝑆𝑚_Ele𝐸𝑥_Ele,𝐸𝑦_Ele

Step  3. Smart meter (𝑆𝑛) ← DCU

    𝐻₁‖Alo_Ele

Step  4. Smart meter (𝑆𝑛)

    Select group key generation element

     DCU_Ele,𝑆1_Ele,𝑆2_Ele,…,𝑆𝑛_Ele←DCU_Ele𝐸𝑥_Ele,𝐸𝑦_Ele,𝑆1_Ele𝐸𝑥_Ele,𝐸𝑦_Ele,𝑆2_Ele𝐸𝑥_Ele,𝐸𝑦_Ele,…,𝑆𝑛_Ele𝐸𝑥_Ele,𝐸𝑦_Ele

    Generate and compare hash data

     𝐻^′₁=𝐻DCU_Ele⊕𝑆1_Ele⊕𝑆2_Ele⊕𝑆3_Ele⊕⋯⊕𝑆𝑛_Ele

     𝐻^′₁≟𝐻₁

    If result of comaprison is correct,

     𝐾_𝑔=𝐻DCU_Ele‖𝑆1_Ele‖𝑆2_Ele‖𝑆3_Ele‖⋯‖𝑆𝑛_Ele