Information on Result #667716
Linear OA(3218, 1098, F32, 7) (dual of [1098, 1080, 8]-code), using generalized (u, u+v)-construction based on
- linear OA(320, 34, F32, 0) (dual of [34, 34, 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, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(320, 34, F32, 0) (dual of [34, 34, 1]-code) (see above)
- linear OA(321, 34, F32, 1) (dual of [34, 33, 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, 34, F32, 1) (dual of [34, 33, 2]-code) (see above)
- linear OA(321, 34, F32, 1) (dual of [34, 33, 2]-code) (see above)
- linear OA(321, 34, F32, 1) (dual of [34, 33, 2]-code) (see above)
- linear OA(323, 34, F32, 2) (dual of [34, 31, 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(323, 34, F32, 3) (dual of [34, 31, 4]-code or 34-arc in PG(2,32) or 34-cap in PG(2,32)), using
- linear OA(328, 44, F32, 7) (dual of [44, 36, 8]-code), using
- extended algebraic-geometric code AGe(F,36P) [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.