Information on Result #1641377
Linear OOA(374, 177151, F3, 5, 10) (dual of [(177151, 5), 885681, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(374, 177151, F3, 3, 10) (dual of [(177151, 3), 531379, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(374, 531453, F3, 10) (dual of [531453, 531379, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(374, 531454, F3, 10) (dual of [531454, 531380, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(373, 531441, F3, 10) (dual of [531441, 531368, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(361, 531441, F3, 8) (dual of [531441, 531380, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(374, 531454, F3, 10) (dual of [531454, 531380, 11]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(374, 177150, F3, 15, 10) (dual of [(177150, 15), 2657176, 11]-NRT-code) | [i] | OOA Stacking with Additional Row | |