The Weight Distributions of a Class of Cyclic Codes with Three Nonzeros over 𝔽₃

Table 2

Irreducible components corresponding to (37).

𝑦^4,	𝑦^4,	𝑧^4,	𝑧^4,	𝑧^4,
𝑥^2+𝑦^2,	𝑥^2+𝑦^2,	𝑥^2+𝑧^2,	𝑥^2+𝑧^2,	𝑦^2+𝑧^2,
𝑧−𝑤,	𝑧+𝑤,	𝑦−𝑤,	𝑦+𝑤,	𝑥−𝑤,
𝑧^4,	𝑤^4,	𝑤^4,	𝑤^4,	𝑤^4,
𝑦^2+𝑧^2,	𝑦^2−𝑦𝑧+𝑧^2+𝑤^2,	𝑦^2−𝑦𝑧+𝑧^2+𝑤^2,	𝑦^2+𝑦𝑧+𝑧^2+𝑤^2,	𝑦^2+𝑦𝑧+𝑧^2+𝑤^2,
𝑥+𝑤,	𝑥−𝑦+𝑧,	𝑥+𝑦−𝑧,	𝑥−𝑦−𝑧,	𝑥+𝑦+𝑧,