Information on Result #1714768
Digital (166, 187, 261822)-net over F3, using net defined by OOA based on linear OOA(3187, 261822, F3, 25, 21) (dual of [(261822, 25), 6545363, 22]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3187, 523645, F3, 5, 21) (dual of [(523645, 5), 2618038, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3187, 523646, F3, 5, 21) (dual of [(523646, 5), 2618043, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3187, 523646, F3, 3, 21) (dual of [(523646, 3), 1570751, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3187, 531451, F3, 3, 21) (dual of [(531451, 3), 1594166, 22]-NRT-code), using
- strength reduction [i] based on linear OOA(3187, 531451, F3, 3, 22) (dual of [(531451, 3), 1594166, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3187, 1594353, F3, 22) (dual of [1594353, 1594166, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- linear OA(3183, 1594323, F3, 22) (dual of [1594323, 1594140, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3157, 1594323, F3, 19) (dual of [1594323, 1594166, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(34, 30, F3, 2) (dual of [30, 26, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- OOA 3-folding [i] based on linear OA(3187, 1594353, F3, 22) (dual of [1594353, 1594166, 23]-code), using
- strength reduction [i] based on linear OOA(3187, 531451, F3, 3, 22) (dual of [(531451, 3), 1594166, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3187, 531451, F3, 3, 21) (dual of [(531451, 3), 1594166, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3187, 523646, F3, 3, 21) (dual of [(523646, 3), 1570751, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3187, 523646, F3, 5, 21) (dual of [(523646, 5), 2618043, 22]-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.