用VHDL或Verilog语言编以下程序：

1.Constructasystematic(7,3)linearblockcode.YoucanuseclauguageorHDL(VHDLorVerilog-HDL)todescribeit.Pleasewritethedetailofhowtorealizeitincomputerlauguage.Andlisttheprogramlines.

2.Wehavealreadylearnedhowtocodeanddecodecycliccodes.Pleaseusethegeneratorpolynominalg(x)=1+x+x2+x4toconstructa(7,3)code.Andifthereceivedcodevectoris[1100111],howtodecodeit?UsecorHDLlauguagetorealizethecodeanddecodesystem.

3.Constructtheconvolutionalcodedefinedby

g0(x)=1+x;g1(x)=1+x*x;

Fora13-bitsourcemessagewithanadditionaltwo“0”bitsappendedtotheend.Pleaselisttheprogramlinesandgivethefinaltrasmitsequence.