Information on Result #684621

Linear OA(785, 117649, F7, 17) (dual of [117649, 117564, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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:

ResultThis
result
only		Method
1Linear OA(791, 117655, F7, 18) (dual of [117655, 117564, 19]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(785, 117655, F7, 17) (dual of [117655, 117570, 18]-code) [i]✔
3Linear OA(7106, 117670, F7, 20) (dual of [117670, 117564, 21]-code) [i]✔
4Linear OA(789, 117671, F7, 17) (dual of [117671, 117582, 18]-code) [i]✔
5Linear OA(791, 117679, F7, 17) (dual of [117679, 117588, 18]-code) [i]✔
6Linear OA(792, 117686, F7, 17) (dual of [117686, 117594, 18]-code) [i]✔
7Linear OA(796, 117696, F7, 17) (dual of [117696, 117600, 18]-code) [i]✔
8Linear OA(7105, 117664, F7, 20) (dual of [117664, 117559, 21]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
9Linear OA(790, 117673, F7, 17) (dual of [117673, 117583, 18]-code) [i]✔
10Linear OOA(785, 14706, F7, 17, 17) (dual of [(14706, 17), 249917, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row