// Magma descriptions of linear codes (with w = GF(4).1).
// Notation: C10d4RC refers to a code of length 10 with d=4.
// Entries in table with constant GC-content and satisfying 
// the RC constraint are gotten by applying the constructions 
// described in ref [GK].


C10d4RC

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 ]
>

C11d5RC

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

C12d6RC

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 ]
>

C14d6RC

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

C15d7RC

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


C16d8RC

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 ]
>

C17d8RC

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 ]
>

C18d8RC

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

C19d7RC

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

C20d8RC

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