Information on Result #685960
Linear OA(723, 30, F7, 16) (dual of [30, 7, 17]-code), using construction X applied to C([0,47]) ⊂ C([0,35]) based on
- linear OA(720, 24, F7, 16) (dual of [24, 4, 17]-code), using contraction [i] based on linear OA(768, 72, F7, 50) (dual of [72, 4, 51]-code), using the expurgated narrow-sense BCH-code C(I) with length 72 | 76−1, defining interval I = [0,47], and minimum distance d ≥ |{−2,−1,…,47}|+1 = 51 (BCH-bound) [i]
- linear OA(717, 24, F7, 12) (dual of [24, 7, 13]-code), using contraction [i] based on linear OA(765, 72, F7, 38) (dual of [72, 7, 39]-code), using the expurgated narrow-sense BCH-code C(I) with length 72 | 76−1, defining interval I = [0,35], and minimum distance d ≥ |{−2,−1,…,35}|+1 = 39 (BCH-bound) [i]
- linear OA(73, 6, F7, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,7) or 6-cap in PG(2,7)), using
- discarding factors / shortening the dual code based on linear OA(73, 7, F7, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), using
- Reed–Solomon code RS(4,7) [i]
- discarding factors / shortening the dual code based on linear OA(73, 7, F7, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), using
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.