Information on Result #1724752
Digital (19, 26, 4805)-net over F7, using net defined by OOA based on linear OOA(726, 4805, F7, 9, 7) (dual of [(4805, 9), 43219, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(726, 4806, F7, 3, 7) (dual of [(4806, 3), 14392, 8]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(726, 4806, F7, 7) (dual of [4806, 4780, 8]-code), using
- trace code [i] based on linear OA(4913, 2403, F49, 7) (dual of [2403, 2390, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(4913, 2401, F49, 7) (dual of [2401, 2388, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(4911, 2401, F49, 6) (dual of [2401, 2390, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- trace code [i] based on linear OA(4913, 2403, F49, 7) (dual of [2403, 2390, 8]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(726, 4806, F7, 7) (dual of [4806, 4780, 8]-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.