Information on Result #665373
Linear OA(2524, 15650, F25, 7) (dual of [15650, 15626, 8]-code), using generalized (u, u+v)-construction based on
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code) (see above)
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code) (see above)
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code) (see above)
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code) (see above)
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code) (see above)
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code) (see above)
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code) (see above)
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code) (see above)
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code) (see above)
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code) (see above)
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code) (see above)
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code) (see above)
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code) (see above)
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code) (see above)
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code) (see above)
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code) (see above)
- linear OA(250, 626, F25, 0) (dual of [626, 626, 1]-code) (see above)
- linear OA(251, 626, F25, 1) (dual of [626, 625, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(251, 626, F25, 1) (dual of [626, 625, 2]-code) (see above)
- linear OA(251, 626, F25, 1) (dual of [626, 625, 2]-code) (see above)
- linear OA(251, 626, F25, 1) (dual of [626, 625, 2]-code) (see above)
- linear OA(253, 626, F25, 2) (dual of [626, 623, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(253, 651, F25, 2) (dual of [651, 648, 3]-code), using
- Hamming code H(3,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 651, F25, 2) (dual of [651, 648, 3]-code), using
- linear OA(254, 626, F25, 3) (dual of [626, 622, 4]-code or 626-cap in PG(3,25)), using
- linear OA(2513, 626, F25, 7) (dual of [626, 613, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
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.
Other Results with Identical Parameters
None.
Depending Results
None.