Information on Result #1726140
Digital (89, 109, 29421)-net over F7, using net defined by OOA based on linear OOA(7109, 29421, F7, 27, 20) (dual of [(29421, 27), 794258, 21]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(7109, 117685, F7, 3, 20) (dual of [(117685, 3), 352946, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(7109, 117685, F7, 20) (dual of [117685, 117576, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(14) [i] based on
- linear OA(7103, 117649, F7, 20) (dual of [117649, 117546, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(773, 117649, F7, 15) (dual of [117649, 117576, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(76, 36, F7, 4) (dual of [36, 30, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- construction X applied to Ce(19) ⊂ Ce(14) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(7109, 117685, F7, 20) (dual of [117685, 117576, 21]-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.