Information on Result #1196772
Digital (57, 78, 1577)-net over F25, using net defined by OOA based on linear OOA(2578, 1577, F25, 22, 21) (dual of [(1577, 22), 34616, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(2578, 7886, F25, 2, 21) (dual of [(7886, 2), 15694, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2514, 66, F25, 2, 10) (dual of [(66, 2), 118, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,121P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2564, 7820, F25, 2, 21) (dual of [(7820, 2), 15576, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2564, 15640, F25, 21) (dual of [15640, 15576, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2564, 15641, F25, 21) (dual of [15641, 15577, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,8]) [i] based on
- linear OA(2561, 15626, F25, 21) (dual of [15626, 15565, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(2549, 15626, F25, 17) (dual of [15626, 15577, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(253, 15, F25, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,25) or 15-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- construction X applied to C([0,10]) ⊂ C([0,8]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2564, 15641, F25, 21) (dual of [15641, 15577, 22]-code), using
- OOA 2-folding [i] based on linear OA(2564, 15640, F25, 21) (dual of [15640, 15576, 22]-code), using
- linear OOA(2514, 66, F25, 2, 10) (dual of [(66, 2), 118, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.