Information on Result #1725224
Digital (69, 81, 2175598)-net over F7, using net defined by OOA based on linear OOA(781, 2175598, F7, 15, 12) (dual of [(2175598, 15), 32633889, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(781, 4351197, F7, 3, 12) (dual of [(4351197, 3), 13053510, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(781, 4351198, F7, 3, 12) (dual of [(4351198, 3), 13053513, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(781, 4351198, F7, 12) (dual of [4351198, 4351117, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(781, 5764801, F7, 12) (dual of [5764801, 5764720, 13]-code), using
- an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(781, 5764801, F7, 12) (dual of [5764801, 5764720, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(781, 4351198, F7, 12) (dual of [4351198, 4351117, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(781, 4351198, F7, 3, 12) (dual of [(4351198, 3), 13053513, 13]-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.