Information on Result #667722
Linear OA(3212, 1408, F32, 5) (dual of [1408, 1396, 6]-code), using generalized (u, u+v)-construction based on
- linear OA(320, 44, F32, 0) (dual of [44, 44, 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, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(320, 44, F32, 0) (dual of [44, 44, 1]-code) (see above)
- linear OA(321, 44, F32, 1) (dual of [44, 43, 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, 44, F32, 1) (dual of [44, 43, 2]-code) (see above)
- linear OA(321, 44, F32, 1) (dual of [44, 43, 2]-code) (see above)
- linear OA(323, 44, F32, 2) (dual of [44, 41, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(323, 1023, F32, 2) (dual of [1023, 1020, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(323, 1023, F32, 2) (dual of [1023, 1020, 3]-code), using
- linear OA(326, 44, F32, 5) (dual of [44, 38, 6]-code), using
- extended algebraic-geometric code AGe(F,38P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, 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.
Other Results with Identical Parameters
None.
Depending Results
None.