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'''Input:''' message <math>m_{ij}</math> at processing element <math>i</math> to processing element <math>j</math>.
'''for''' <math>d > k \geq 0</math> '''do'''
'''Receive''' from processing element <math>i \text{ XOR } 2^k</math>:
all messages for my <math>k</math>-dimensional sub cube
'''Send''' to processing element <math>i \text{ XOR } 2^k</math>:
all messages for its <math>k</math>-dimensional sub cube
'''endfor'''
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