Information on Result #642367
Linear OA(16100, 104, F16, 88) (dual of [104, 4, 89]-code), using juxtaposition based on
- linear OA(1619, 23, F16, 18) (dual of [23, 4, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(1619, 24, F16, 18) (dual of [24, 5, 19]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1619, 24, F16, 18) (dual of [24, 5, 19]-code), using
- linear OA(1677, 81, F16, 69) (dual of [81, 4, 70]-code), using
- juxtaposition [i] based on
- linear OA(1613, 17, F16, 13) (dual of [17, 4, 14]-code or 17-arc in PG(12,16)), using
- extended Reed–Solomon code RSe(4,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(1660, 64, F16, 55) (dual of [64, 4, 56]-code), using
- algebraic-geometric code AG(F,8P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using the Hermitian function field over F16 [i]
- linear OA(1613, 17, F16, 13) (dual of [17, 4, 14]-code or 17-arc in PG(12,16)), using
- juxtaposition [i] based on
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(16100, 52, F16, 2, 88) (dual of [(52, 2), 4, 89]-NRT-code) | [i] | OOA Folding | |