Error Detection and Correction On-Board Nanosatellites Using Hamming Codes

Table 10

Original vs optimized Hamming compression.

Hamming [16, 11, 4]2
Description		Original	Resource reduction	Timing reduction
Resource summary	ALM	12	12	12
	ALUT	13	13	13
	7-input	0	0	0
	6-input	7	2	7
	5-input	0	0	0
	4-input	0	0	0
	≤3-input	6	22	6
	Dedicated logic registers	24	24	24
	I/O pins	27	27	27
	Max fan-out	24	24	24
	Total fan-out	165	145	165
	Average fan-out	1.81	1.59	1.81
Timing analysis	Clock period	1 ns	2.25 ns	1.8 ns
	From node	Datain_s[5]	Datain_s[2]	Datain_s[8]
	To node	Dataout_s[10]∼reg0	Dataout[1]∼reg0	Dataout[8]∼reg0
	Data arrival time	5.624 ns	5.987 ns	5.394 ns
	Data required time	4.827 ns	6.076 ns	5.491 ns
	Slack	−0.797 ns (violation)	0.089 ns	0.097 ns