Information on Result #667726
Linear OA(3220, 1048608, F32, 5) (dual of [1048608, 1048588, 6]-code), using generalized (u, u+v)-construction based on
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(320, 32769, F32, 0) (dual of [32769, 32769, 1]-code) (see above)
- linear OA(321, 32769, F32, 1) (dual of [32769, 32768, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(321, 32769, F32, 1) (dual of [32769, 32768, 2]-code) (see above)
- linear OA(321, 32769, F32, 1) (dual of [32769, 32768, 2]-code) (see above)
- linear OA(324, 32769, F32, 2) (dual of [32769, 32765, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(324, 33825, F32, 2) (dual of [33825, 33821, 3]-code), using
- Hamming code H(4,32) [i]
- discarding factors / shortening the dual code based on linear OA(324, 33825, F32, 2) (dual of [33825, 33821, 3]-code), using
- linear OA(3213, 32769, F32, 5) (dual of [32769, 32756, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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.