Information on Result #1644360
Linear OOA(3145, 177151, F3, 5, 18) (dual of [(177151, 5), 885610, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3145, 177151, F3, 3, 18) (dual of [(177151, 3), 531308, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3145, 531453, F3, 18) (dual of [531453, 531308, 19]-code), using
- 1 times truncation [i] based on linear OA(3146, 531454, F3, 19) (dual of [531454, 531308, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- linear OA(3145, 531441, F3, 19) (dual of [531441, 531296, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3133, 531441, F3, 17) (dual of [531441, 531308, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(18) ⊂ Ce(16) [i] based on
- 1 times truncation [i] based on linear OA(3146, 531454, F3, 19) (dual of [531454, 531308, 20]-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(3145, 88575, F3, 25, 18) (dual of [(88575, 25), 2214230, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |