Information on Result #1746146
Digital (43, 65, 70326)-net over F81, using net defined by OOA based on linear OOA(8165, 70326, F81, 28, 22) (dual of [(70326, 28), 1969063, 23]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8165, 210979, F81, 4, 22) (dual of [(210979, 4), 843851, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8165, 210980, F81, 4, 22) (dual of [(210980, 4), 843855, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8165, 210980, F81, 2, 22) (dual of [(210980, 2), 421895, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8165, 265724, F81, 2, 22) (dual of [(265724, 2), 531383, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8165, 531448, F81, 22) (dual of [531448, 531383, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(8164, 531441, F81, 22) (dual of [531441, 531377, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(8158, 531441, F81, 20) (dual of [531441, 531383, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(811, 7, F81, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(8165, 531448, F81, 22) (dual of [531448, 531383, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(8165, 265724, F81, 2, 22) (dual of [(265724, 2), 531383, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8165, 210980, F81, 2, 22) (dual of [(210980, 2), 421895, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8165, 210980, F81, 4, 22) (dual of [(210980, 4), 843855, 23]-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.