Partial repeat code construction method based on graph factorization
A technology of factorization and construction method, applied in the computer field, can solve problems such as single construction method, complex FR code construction process, inability to flexibly select construction parameters and data block repetition, and achieve the effect of flexible construction method
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Embodiment 1
[0037] This embodiment provides a partial repetition code construction method based on graph factorization, including the following steps:
[0038] Step 1: Use graph factorization method to complete graph K of order 6 6 Carry out 1 graph factorization to get F 1 , F 2 ,...,F 5 5 factors, each factor contains 3 edges, each edge has 2 vertices.
[0039] Step 2: Determine the repetition degree ρ (1≤ρ≤5) of constructing the FR code, for example, take ρ=3, so there are a total of A construction method of FR codes with repetition degree ρ=3 from F 1 , F 2 ,...,F 5 Choose 3 factors arbitrarily in , and put the 6th-order complete graph K 6 Each vertex v of i (1≤i≤6) as a data block v stored in FR code i (1≤i≤6), such as figure 1 As shown, the selection factor F 2 , F 4 , F 5 , then for F 2 , F 4 , F 5 The edges are sequentially numbered as e q (1≤q≤9), such as figure 1 shown. Then, take each edge e of the 3 factors q (1≤q≤9) as each storage node N of FR code q (1...
Embodiment 2
[0041] This embodiment provides a partial repetition code construction method based on graph factorization, including the following steps:
[0042] Step 1: Use graph factorization method to complete graph K of order 9 9 Perform 2-graph factorization to get F 1 , F 2 ,...,F 4 4 factors, each factor contains 3 triangles.
[0043] Step 2, determine the repetition degree ρ' (1≤ρ'≤4) of constructing the FR code, take ρ'=3, so there are a total of A method for constructing FR codes with repetition degree ρ'=3. in F 1 , F 2 ,...,F 4 The Chinese party chooses 3 factors to construct, for example, select factor F 1 , F 3 , F 4 , then for F 1 , F 3 , F 4 The triangles are sequentially numbered as Δ q (1≤q≤9), such as image 3 shown. Take each triangle Δ in the 3 factors q (1≤q≤9) as each storage node N of FR code q (1≤q≤9), each node N q (1≤q≤9) store each triangle Δ q (1≤q≤9) data block d on adjacent vertices i (1≤i≤9). The capacity of each storage node of the FR ...
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