1414# F LowerBoundGilbertVarshamov( <n>, <d>, <q> ) . . .Gilbert-Varshamov bound
1515# #
1616# # added 9-2004 by wdj
17- DeclareOperation(" LowerBoundGilbertVarshamov" , [ IsInt, IsInt, IsInt] );
17+ DeclareOperation(" LowerBoundGilbertVarshamov" , [ IsInt, IsInt, IsInt] );
1818
1919# ############################################################################
2020# #
2121# F LowerBoundSpherePacking( <n>, <r>, <q> ) . . . sphere packing lower bound
2222# # for unrestricted codes
2323# #
2424# # added 11-2004 by wdj
25- DeclareOperation(" LowerBoundSpherePacking" , [ IsInt, IsInt, IsInt] );
25+ DeclareOperation(" LowerBoundSpherePacking" , [ IsInt, IsInt, IsInt] );
2626
2727# ############################################################################
2828# #
2929# F UpperBoundHamming( <n>, <d>, <q> ) . . . . . . . . . . . . Hamming bound
3030# #
31- DeclareOperation(" UpperBoundHamming" , [ IsInt, IsInt, IsInt] );
31+ DeclareOperation(" UpperBoundHamming" , [ IsInt, IsInt, IsInt] );
3232
3333# ############################################################################
3434# #
3535# F UpperBoundSingleton( <n>, <d>, <q> ) . . . . . . . . . . Singleton bound
3636# #
37- DeclareOperation(" UpperBoundSingleton" , [ IsInt, IsInt, IsInt] );
37+ DeclareOperation(" UpperBoundSingleton" , [ IsInt, IsInt, IsInt] );
3838
3939# ############################################################################
4040# #
4141# F UpperBoundPlotkin( <n>, <d>, <q> ) . . . . . . . . . . . . Plotkin bound
4242# #
43- DeclareOperation(" UpperBoundPlotkin" , [ IsInt, IsInt, IsInt] );
43+ DeclareOperation(" UpperBoundPlotkin" , [ IsInt, IsInt, IsInt] );
4444
4545# ############################################################################
4646# #
4747# F UpperBoundGriesmer( <n>, <d>, <q> ) . . . . . . . . . . . Griesmer bound
4848# #
49- DeclareOperation(" UpperBoundGriesmer" , [ IsInt, IsInt, IsInt] );
49+ DeclareOperation(" UpperBoundGriesmer" , [ IsInt, IsInt, IsInt] );
5050
5151# ############################################################################
5252# #
5353# F UpperBoundElias( <n>, <d>, <q> ) . . . . . . . . . . . . . . Elias bound
5454# #
55- DeclareOperation(" UpperBoundElias" , [ IsInt, IsInt, IsInt] );
55+ DeclareOperation(" UpperBoundElias" , [ IsInt, IsInt, IsInt] );
5656
5757# ############################################################################
5858# #
5959# F UpperBoundJohnson( <n>, <d> ) . . . . . . . . . . Johnson bound for <q>=2
6060# #
61- DeclareOperation(" UpperBoundJohnson" , [ IsInt, IsInt] );
61+ DeclareOperation(" UpperBoundJohnson" , [ IsInt, IsInt] );
6262
6363# ############################################################################
6464# #
@@ -68,19 +68,19 @@ DeclareOperation("UpperBoundJohnson", [IsInt, IsInt]);
6868# # least d over an alphabet Q of size q, using the minimum of the Hamming,
6969# # Plotkin and Singleton bound.
7070# #
71- DeclareOperation(" UpperBound" , [ IsInt, IsInt, IsInt] );
71+ DeclareOperation(" UpperBound" , [ IsInt, IsInt, IsInt] );
7272
7373# ############################################################################
7474# #
7575# F IsPerfectCode( <C> ) . . . . . . determines whether C is a perfect code
7676# #
77- DeclareProperty(" IsPerfectCode" , IsCode);
77+ DeclareProperty(" IsPerfectCode" , IsCode);
7878
7979# ############################################################################
8080# #
8181# F IsMDSCode( <C> ) . . . checks if C is a Maximum Distance Separable Code
8282# #
83- DeclareProperty(" IsMDSCode" , IsCode);
83+ DeclareProperty(" IsMDSCode" , IsCode);
8484
8585# ############################################################################
8686# #
@@ -91,7 +91,7 @@ DeclareProperty("IsMDSCode", IsCode);
9191# # function UpperBound is not allways equal to the actual upperbound A(n,d)
9292# # thus the result may not be equal to 0 for all optimal codes!
9393# #
94- DeclareOperation(" OptimalityCode" , [ IsCode] );
94+ DeclareOperation(" OptimalityCode" , [ IsCode] );
9595
9696# ############################################################################
9797# #
@@ -100,13 +100,13 @@ DeclareOperation("OptimalityCode", [IsCode]);
100100# # OptimalityLinearCode(C) returns the difference between the smallest known
101101# # upperbound on the size of a linear code and the actual size.
102102# #
103- DeclareOperation(" OptimalityLinearCode" , [ IsCode] );
103+ DeclareOperation(" OptimalityLinearCode" , [ IsCode] );
104104
105105# ############################################################################
106106# #
107107# F BoundsMinimumDistance( <n>, <k>, <F> ) . . gets data from bounds tables
108108# #
109109# # LowerBoundMinimumDistance uses (n, k, q, true)
110- # # LowerBoundMinimumDistance uses (n, k, q, false)
111- DeclareGlobalFunction(" BoundsMinimumDistance" );
110+ # # LowerBoundMinimumDistance uses (n, k, q, false)
111+ DeclareGlobalFunction(" BoundsMinimumDistance" );
112112
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