Information on Result #1646252
Linear OOA(3175, 177161, F3, 5, 21) (dual of [(177161, 5), 885630, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3175, 177161, F3, 3, 21) (dual of [(177161, 3), 531308, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3175, 531483, F3, 21) (dual of [531483, 531308, 22]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(36, 42, F3, 3) (dual of [42, 36, 4]-code or 42-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
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(3176, 177161, F3, 5, 21) (dual of [(177161, 5), 885629, 22]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3177, 177161, F3, 5, 21) (dual of [(177161, 5), 885628, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(3175, 88580, F3, 25, 21) (dual of [(88580, 25), 2214325, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |