Information on Result #1649150
Linear OOA(3212, 2634495, F3, 5, 21) (dual of [(2634495, 5), 13172263, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3212, 2634495, F3, 3, 21) (dual of [(2634495, 3), 7903273, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3212, 2796201, F3, 3, 21) (dual of [(2796201, 3), 8388391, 22]-NRT-code), using
- 32 times duplication [i] based on linear OOA(3210, 2796201, F3, 3, 21) (dual of [(2796201, 3), 8388393, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- OOA 3-folding [i] based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- 32 times duplication [i] based on linear OOA(3210, 2796201, F3, 3, 21) (dual of [(2796201, 3), 8388393, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3212, 1317247, F3, 25, 21) (dual of [(1317247, 25), 32930963, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |