An erasure-correctable character string encoding and decoding method based on finite state transition
A technology of finite state and decoding method, applied in the field of circulation commodity information traceability system, which can solve problems such as easy loss of commodity identity information, incompatibility, and inability of the traceability system to work properly.
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Embodiment 1
[0071] Embodiment 1: Assume that the identity information string of a commodity is coded as bT6pzDRMzC.
[0072] First, the specific coding steps (such as Figure 4 shown)
[0073] (1) Assign a 10-digit identity information string indicating its identity information to the product, in this case bT6pzDRMzC;
[0074] (2), each character of the identity information string is mapped to a non-negative integer indicating its state, the mapping relationship is as follows figure 1 As shown, a finite state sequence 37, 29, 6, 51, 61, 13, 27, 22, 61, 12 of length 10 is obtained according to the order of the characters, and each integer of the finite state sequence is the item of the identity information polynomial Coefficient, m(X)=37X 10 +29X 11 +6X 12 +51X 13 +61X 14 +13X 15 +27X 16 +22X 17 +61X 18 +12X 19 ;
[0075] (3), define the division formula, take 1, 2, 4, 8, 16, 32, 3, 6, 12, 24 as the zero point of the polynomial, make g(X)=25X 0 +28X 1 +42X 2 +33X 3 +63X 4 +...
Embodiment 2
[0083] Embodiment 2: Assume that the identity information string code of a commodity is isBn978704.
[0084] First, the specific coding steps (such as Figure 4 shown)
[0085] (1) Assign a 10-digit identity information string indicating its identity information to the product, in this example isBn978704;
[0086] (2), each character of the identity information string is mapped to a non-negative integer indicating its state, the mapping relationship is as follows figure 1 As shown, a finite state sequence 44, 54, 11, 49, 9, 7, 8, 7, 0, 4 of length 10 is obtained according to the order of the characters, and each integer of the finite state sequence is each of the identity information polynomial Item coefficient, m(X)=44X 10 +54X 11 +11X 12 +49X 13 +9X 14 +7X 15 +8X 16 +7X 17 +4X 19 ;
[0087] (3), define the division formula, take 1, 2, 4, 8, 16, 32, 3, 6, 12, 24 as the zero point of the polynomial, make g(X)=25X 0 +28X 1 +42X 2 +33X 3 +63X 4 +46X 5 +26X 6 +...
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