zeroCode -- zero code

Usage:

zeroCode(F,n)
Inputs:
- F, a Galois field,
- n, an integer,
Outputs:
- an instance of the type LinearCode,

Description

Constructs the linear code of length n over F whose only codeword is the zero codeword.

i1 : C=zeroCode(GF(4),7)

                                       7
o1 = LinearCode{AmbientModule => (GF 4)                                                                                                                                                             }
                BaseField => GF 4
                cache => CacheTable{}
                GeneratorMatrix => 0
                Generators => {{}}
                ParityCheckMatrix => | 1 0 0 0 0 0 0 |
                                     | 0 1 0 0 0 0 0 |
                                     | 0 0 1 0 0 0 0 |
                                     | 0 0 0 1 0 0 0 |
                                     | 0 0 0 0 1 0 0 |
                                     | 0 0 0 0 0 1 0 |
                                     | 0 0 0 0 0 0 1 |
                ParityCheckRows => {{1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1}}

o1 : LinearCode

i2 : C.GeneratorMatrix

o2 = 0

              1       7
o2 : Matrix ZZ  <-- ZZ

Ways to use zeroCode:

zeroCode(GaloisField,ZZ)

For the programmer

The object zeroCode is a method function.

The source of this document is in /__w/M2/M2/macaulay2-1.26.05+ds/M2/Macaulay2/packages/CodingTheory.m2:3169:0.