A 5-ary linear code C is defined as C=span (1210412,2341213.3101434,0024341,3142104,1240440} Calculate the generator matrix in standard form and the parity check matrix in standard form. (8 marks) (a) (b) Give the [n, k, d] parameters of the code (3 marks) (c) (d) Decode the received word 2432330. Let D be 5-ary linear code of length 8. With respect to a parity check matrix in standard form H=(X), where is the 4x4 identity matrix, part of a Standard Decoding Array (SDA) for D is given as follows: Syndrome 2031 3430 1404 1431 Coset Leader 10000000 01000000 00100200 00011000 (4 marks) Determine whether or not 42031033 is a valid codeword of D. (5 marks)