1. (a) Give an example of linear code C c Z5 of dimension 2 and minimal distance3 (b) A code C is said to be s-error detecting if, whenever a code- word incurs at least one but at most s error bits, the resulting string is not a code-word. Prove that C is s-error detecting if and only if the minimum distance d(C) 2 s +1 1. (a) Give an example of linear code C c Z5 of dimension 2 and minimal distance3 (b) A code C is said to be s-error detecting if, whenever a code- word incurs at least one but at most s error bits, the resulting string is not a code-word. Prove that C is s-error detecting if and only if the minimum distance d(C) 2 s +1