Information on Result #663139
Linear OA(720, 28, F7, 13) (dual of [28, 8, 14]-code), using generalized (u, u+v)-construction based on
- linear OA(71, 4, F7, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(72, 4, F7, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,7)), using
- discarding factors / shortening the dual code based on linear OA(72, 7, F7, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using
- Reed–Solomon code RS(5,7) [i]
- discarding factors / shortening the dual code based on linear OA(72, 7, F7, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using
- linear OA(72, 4, F7, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,7)) (see above)
- linear OA(73, 4, F7, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,7) or 4-cap in PG(2,7)), using
- dual of repetition code with length 4 [i]
- linear OA(74, 4, F7, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,7)), using
- linear OA(74, 4, F7, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,7)) (see above)
- linear OA(74, 4, F7, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,7)) (see above)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.