// Magma descriptions of linear codes (with w = GF(4).1).
// Notation: C10d4 refers to a code of length 10 with d=4.
// Entries in table with constant GC-content are gotten by 
// applying the constructions described in ref [GK].


C10d4

LinearCode<GF(2, 2), 10 |
    [ 1, 0, 0, 0, 0, 0, w, w, w, w^2 ],
    [ 0, 1, 0, 0, 0, 0, 1, 0, w^2, w^2 ],
    [ 0, 0, 1, 0, 0, 0, w^2, w, w^2, w^2 ],
    [ 0, 0, 0, 1, 0, 0, 0, w, w, 1 ],
    [ 0, 0, 0, 0, 1, 0, w, w, w^2, w ],
    [ 0, 0, 0, 0, 0, 1, w, 1, w^2, 1 ]
>

C10d5

LinearCode<GF(2, 2), 10 |
    [ 1, 0, 0, 0, 0, w^2, w^2, 0, w, w^2 ],
    [ 0, 1, 0, 0, 0, w^2, 1, 1, 1, w^2 ],
    [ 0, 0, 1, 0, 0, 1, w, 1, 0, w^2 ],
    [ 0, 0, 0, 1, 0, 1, w^2, 1, w, 0 ],
    [ 0, 0, 0, 0, 1, 0, w, w, w^2, w ]
>



C11d5

LinearCode<GF(2, 2), 11 |
    [ 1, 0, 0, 0, 0, 0, w, 1, 1, w, 1 ],
    [ 0, 1, 0, 0, 0, 0, w, 0, w^2, w^2, w^2 ],
    [ 0, 0, 1, 0, 0, 0, w^2, 1, w, 1, 0 ],
    [ 0, 0, 0, 1, 0, 0, 0, w^2, w^2, w^2, w ],
    [ 0, 0, 0, 0, 1, 0, 1, w^2, 1, 0, w ],
    [ 0, 0, 0, 0, 0, 1, w^2, 1, w^2, w, w ]
>

C12d6

LinearCode<GF(2, 2), 12 |
    [ 1, 0, 0, 0, 0, 0, 1, w^2, 1, 1, w, 1 ],
    [ 0, 1, 0, 0, 0, 0, w, 0, 1, w^2, w, w^2 ],
    [ 0, 0, 1, 0, 0, 0, w, w^2, w, w^2, 0, 1 ],
    [ 0, 0, 0, 1, 0, 0, 0, w, w^2, w, w^2, 1 ],
    [ 0, 0, 0, 0, 1, 0, w^2, w, 1, 0, w^2, w ],
    [ 0, 0, 0, 0, 0, 1, w^2, 1, 1, w, 1, 1 ]
>


C14d6

LinearCode<GF(2, 2), 14 |
    [ 1, 0, 0, 0, 0, 0, 0, w, 0, w, w^2, w^2, 1, 0 ],
    [ 0, 1, 0, 0, 0, 0, 0, 1, w^2, 0, w^2, w^2, w, 1 ],
    [ 0, 0, 1, 0, 0, 0, 0, w^2, 1, w^2, 1, w, 1, w ],
    [ 0, 0, 0, 1, 0, 0, 0, w^2, 1, 1, 0, w^2, 1, 0 ],
    [ 0, 0, 0, 0, 1, 0, 0, w^2, w, w, w^2, 0, w^2, w ],
    [ 0, 0, 0, 0, 0, 1, 0, w, w, 0, 1, 0, 1, 1 ],
    [ 0, 0, 0, 0, 0, 0, 1, w, w^2, 1, 1, 1, w, w^2 ]
>


 C15d7

LinearCode<GF(2, 2), 15 |
    [ 1, 0, 0, 0, 0, 0, 0, w^2, 0, 1, w^2, 0, 1, w^2, w ],
    [ 0, 1, 0, 0, 0, 0, 0, w^2, 1, w, w^2, w^2, 0, 0, 1 ],
    [ 0, 0, 1, 0, 0, 0, 0, w, 1, 0, 1, 1, 0, w^2, 1 ],
    [ 0, 0, 0, 1, 0, 0, 0, w^2, w^2, 0, 0, 1, w, 1, w^2 ],
    [ 0, 0, 0, 0, 1, 0, 0, w^2, w^2, 1, 1, 1, 1, 0, 1 ],
    [ 0, 0, 0, 0, 0, 1, 0, 0, 0, w, w^2, 1, 1, 1, 1 ],
    [ 0, 0, 0, 0, 0, 0, 1, 0, w^2, w, 1, 0, w^2, w^2, 1 ]
>

C16d8

LinearCode<GF(2, 2), 16 |
    [ 1, 0, 0, 0, 0, 0, 0, 0, w^2, w^2, w, 1, w, 0, w, w ],
    [ 0, 1, 0, 0, 0, 0, 0, 1, w, 1, 1, 1, 1, w, w, w ],
    [ 0, 0, 1, 0, 0, 0, 0, w, w^2, w^2, 0, 0, w^2, w^2, 1, w ],
    [ 0, 0, 0, 1, 0, 0, 0, 0, 1, w, w^2, 1, w, w^2, 0, 1 ],
    [ 0, 0, 0, 0, 1, 0, 0, w, w, w^2, w^2, 0, 0, 1, w^2, w^2 ],
    [ 0, 0, 0, 0, 0, 1, 0, w, 0, 0, w^2, w, 1, w, w, w^2 ],
    [ 0, 0, 0, 0, 0, 0, 1, w, 0, 1, 1, w, w, 0, 1, w ]
>


 C17d7

LinearCode<GF(2, 2), 17 |
    [ 1, 0, 0, 0, 0, 0, 0, 0, 0, w^2, 1, w^2, w^2, w^2, w^2, 0, w^2 ],
    [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, w^2, 0, w^2, 0, w, 0, w ],
    [ 0, 0, 1, 0, 0, 0, 0, 0, 0, w, w, 0, w, 1, w, 0, 0 ],
    [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, w, 1, 0, w, w^2, 0, w^2 ],
    [ 0, 0, 0, 0, 1, 0, 0, 0, 0, w^2, 1, w, 1, w^2, w, 0, 1 ],
    [ 0, 0, 0, 0, 0, 1, 0, 0, 0, w, w, w^2, w^2, 0, 1, 0, 0 ],
    [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, w^2, w, w, 1, 0, 0, w^2 ],
    [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, w, w, 0, w, 0, 0, w ],
    [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, w, w^2, 1, w, 0, w^2 ]
>

 C17d8

LinearCode<GF(2, 2), 17 |
    [ 1, 0, 0, 0, 0, 0, 0, 0, 1, w^2, w^2, 0, w, w, 0, w^2, w^2 ],
    [ 0, 1, 0, 0, 0, 0, 0, 0, w^2, w^2, 1, w^2, 1, w^2, w, w, 1 ],
    [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, w^2, w^2, 1, 1 ],
    [ 0, 0, 0, 1, 0, 0, 0, 0, 1, w, w^2, 0, w^2, w^2, w^2, 0, w ],
    [ 0, 0, 0, 0, 1, 0, 0, 0, w, 0, w^2, w^2, w^2, 0, w^2, w, 1 ],
    [ 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, w^2, w^2, 1, 1, 0, 0, 1 ],
    [ 0, 0, 0, 0, 0, 0, 1, 0, 1, w, w, w^2, 1, w^2, 1, w^2, w^2 ],
    [ 0, 0, 0, 0, 0, 0, 0, 1, w^2, w^2, 0, w, w, 0, w^2, w^2, 1 ]
>

 C18d7

LinearCode<GF(2, 2), 18 |
    [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, w^2, w, w^2, 0, w^2, 1, w, w ],
    [ 0, 1, 0, 0, 0, 0, 0, 0, 0, w, 0, 1, 1, 1, w, 1, 1, 0 ],
    [ 0, 0, 1, 0, 0, 0, 0, 0, 0, w, 0, w^2, w^2, 1, w^2, w, w, 1 ],
    [ 0, 0, 0, 1, 0, 0, 0, 0, 0, w^2, w^2, 1, w, w, 0, w, w^2, 1 ],
    [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, w^2, 0, 1, w, w, 1, w^2 ],
    [ 0, 0, 0, 0, 0, 1, 0, 0, 0, w, 1, w, w^2, 0, w, w^2, w, 0 ],
    [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, w^2, 1, w^2, 1, w, 0, w, 1 ],
    [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, w^2, 1, 0, w^2, 0, 0, w, w^2 ],
    [ 0, 0, 0, 0, 0, 0, 0, 0, 1, w, w, w, w, w, 0, w^2, w^2, w^2 ]
>

 C18d8

LinearCode<GF(2, 2), 18 |
    [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, w^2, 1, 1, w, 1, 1, w^2, w ],
    [ 0, 1, 0, 0, 0, 0, 0, 0, 0, w^2, w^2, 0, w, 0, 1, w, w^2, w^2 ],
    [ 0, 0, 1, 0, 0, 0, 0, 0, 0, w^2, 1, 0, w^2, w^2, w^2, w, 0, w ],
    [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, w^2, 1, 0, w^2, w^2, w^2, w, w ],
    [ 0, 0, 0, 0, 1, 0, 0, 0, 0, w, 1, 1, w^2, w^2, 1, 1, w, 1 ],
    [ 0, 0, 0, 0, 0, 1, 0, 0, 0, w, w^2, w^2, w^2, 0, 1, w^2, 0, w ],
    [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, w, w^2, w^2, w^2, 0, 1, w^2, w ],
    [ 0, 0, 0, 0, 0, 0, 0, 1, 0, w^2, w, 1, 0, w, 0, w^2, w^2, w^2 ],
    [ 0, 0, 0, 0, 0, 0, 0, 0, 1, w^2, 1, 1, w, 1, 1, w^2, 1, w ]
>

C19d7

LinearCode<GF(2, 2), 19 |
    [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, w^2, w^2, 1, 1 ],
    [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1 ],
    [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, w, 1, w^2 ],
    [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, w, 1, w^2, w^2, w ],
    [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, w^2, 0, w, 1, 1 ],
    [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, w^2, w^2 ],
    [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, w, 1, w, 0, 0 ],
    [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, w^2, w, w, 0, w ],
    [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, w^2, 1, 1, w^2 ],
    [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, w, w^2 ],
    [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, w^2, 1, 0, w, 1 ],
    [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, w^2, w^2, 0, 0, 1 ],
    [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0 ]
>

 C19d9

LinearCode<GF(2, 2), 19 |
    [ 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, w^2, w, 0, w, 0, w, 1 ],
    [ 0, 1, 0, 0, 0, 0, 0, w, 1, w, 0, w^2, w, w^2, 1, w, 1,
    w, w ],
    [ 0, 0, 1, 0, 0, 0, 0, 1, w^2, 0, w, w^2, w, w^2, w^2, w,
    w, 0, 0 ],
    [ 0, 0, 0, 1, 0, 0, 0, 0, w, 1, 0, 1, w^2, w^2, 1, w, w, w,
    0 ],
    [ 0, 0, 0, 0, 1, 0, 0, 0, 0, w, w^2, 0, w^2, w^2, w^2, w, 1,
    1, 1 ],
    [ 0, 0, 0, 0, 0, 1, 0, 1, 0, w, w^2, 0, 1, w, 0, w, w^2,
    w^2, 0 ],
    [ 0, 0, 0, 0, 0, 0, 1, 0, w, 0, w, w, 0, w, w^2, 0, w,
    w^2, w^2 ]
>

 C20d9

LinearCode<GF(2, 2), 20 |
    [ 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, w, w, w^2, w, w, 1, w, w^2 ],
    [ 0, 1, 0, 0, 0, 0, w, 0, 0, w, 1, w^2, 0, w, 0, w, 1, w, w, w^2
    ],
    [ 0, 0, 1, 0, 0, 0, w^2, 0, 0, 1, 0, 0, w^2, 0, w, w^2, w^2, w^2, 0,
    w ],
    [ 0, 0, 0, 1, 0, 0, 0, 0, 0, w^2, w, w, w, w^2, 0, w^2, 0, 1, 0, w
    ],
    [ 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, w^2, w, w^2, w, 0, 1, 1, 0, w, 0 ],
    [ 0, 0, 0, 0, 0, 1, w, 0, 0, w, 1, 1, w, 0, 0, 0, w, w^2, 1, w ],
    [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, w^2, 1, 1, w, 1, w, 1 ],
    [ 0, 0, 0, 0, 0, 0, 0, 0, 1, w^2, 1, w^2, 1, 0, w^2, 1, w, 1, 1, 0 ]
>

C20d10

LinearCode<GF(2, 2), 20 |
    [ 1, 0, 0, 0, 0, 0, 0, w^2, 1, 1, w, 0, w, w, 0, w, w^2, 0, 1, 0 ],
    [ 0, 1, 0, 0, 0, 0, 0, w, w, 1, 0, 0, w, w, 0, w^2, 0, w, w, w^2
    ],
    [ 0, 0, 1, 0, 0, 0, 0, 0, 1, w^2, w, 0, 0, 1, w, w^2, 1, w, 0, w ],
    [ 0, 0, 0, 1, 0, 0, 0, w^2, 0, 0, 1, w^2, w^2, w, 1, 0, 1, 1, 1, 1 ],
    [ 0, 0, 0, 0, 1, 0, 0, w^2, w, w, 1, 0, 1, 0, w, 1, w^2, w^2, w,
    w^2 ],
    [ 0, 0, 0, 0, 0, 1, 0, w, w, 0, 1, 1, 1, 1, w^2, w^2, 1, 1, 1, 0 ],
    [ 0, 0, 0, 0, 0, 0, 1, w^2, 1, 1, w, w, 1, 1, 1, 1, 1, w^2, w^2, w^2
    ]
>