1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
|
#############################################################################
##
#A codenorm.gd GUAVA library Reinald Baart
#A Jasper Cramwinckel
#A Erik Roijackers
#A Eric Minkes
##
## This file contains functions for calculating code norms
##
########################################################################
##
#F CoordinateSubCode( <code>, <i>, <element> )
##
## Return the subcode of <code>, that has elements
## with an <element> in coordinate position <i>.
## If no elements have an <element> in position <i>, return false.
##
DeclareOperation("CoordinateSubCode", [IsCode, IsInt, IsFFE]);
########################################################################
##
#F CoordinateNorm( <code>, <i> )
##
## Returns the norm of code with respect to coordinate i.
##
DeclareAttribute("CoordinateNorm", IsCode, "mutable");
########################################################################
##
#F CodeNorm( <code> )
##
## Return the norm of code.
## The norm of code is the minimum of the coordinate norms
## of code with respect to i = 1, ..., n.
##
DeclareAttribute("CodeNorm", IsCode);
########################################################################
##
#F IsCoordinateAcceptable( <code>, <i> )
##
## Test whether coordinate i of <code> is acceptable.
## (a coordinate is acceptable if the norm of code with respect to
## that coordinate is less than or equal to one plus two times the
## covering radius of code).
DeclareOperation("IsCoordinateAcceptable", [IsCode, IsInt]);
########################################################################
##
#F IsNormalCode( <code> )
##
## Return true if code is a normal code, false otherwise.
## A code is called normal if its norm is smaller than or
## equal to two times its covering radius + one.
##
DeclareProperty("IsNormalCode", IsCode);
########################################################################
##
#F GeneralizedCodeNorm( <code>, <code1>, <code2>, ... , <codek> )
##
## Compute the k-norm of code with respect to the k subcode
## code1, code2, ... , codek.
##
DeclareGlobalFunction("GeneralizedCodeNorm");
|
