Information on Result #1734810
Digital (77, 98, 148421)-net over F16, using net defined by OOA based on linear OOA(1698, 148421, F16, 22, 21) (dual of [(148421, 22), 3265164, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(1698, 742106, F16, 2, 21) (dual of [(742106, 2), 1484114, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1698, 742109, F16, 2, 21) (dual of [(742109, 2), 1484120, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1698, 742109, F16, 21) (dual of [742109, 742011, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(1698, 1048593, F16, 21) (dual of [1048593, 1048495, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(17) [i] based on
- linear OA(1696, 1048576, F16, 21) (dual of [1048576, 1048480, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(1681, 1048576, F16, 18) (dual of [1048576, 1048495, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(162, 17, F16, 2) (dual of [17, 15, 3]-code or 17-arc in PG(1,16)), using
- extended Reed–Solomon code RSe(15,16) [i]
- Hamming code H(2,16) [i]
- construction X applied to Ce(20) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(1698, 1048593, F16, 21) (dual of [1048593, 1048495, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1698, 742109, F16, 21) (dual of [742109, 742011, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(1698, 742109, F16, 2, 21) (dual of [(742109, 2), 1484120, 22]-NRT-code), using
Mode: 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.