Information on Result #1561567
Linear OOA(9113, 417948, F9, 3, 21) (dual of [(417948, 3), 1253731, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9113, 417948, F9, 21) (dual of [417948, 417835, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(9113, 531463, F9, 21) (dual of [531463, 531350, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(16) [i] based on
- linear OA(9109, 531441, F9, 21) (dual of [531441, 531332, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(991, 531441, F9, 17) (dual of [531441, 531350, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(94, 22, F9, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,9)), using
- construction X applied to Ce(20) ⊂ 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(9113, 104486, F9, 27, 21) (dual of [(104486, 27), 2821009, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |