Information on Result #1611443
Linear OOA(3232, 1205890, F3, 4, 24) (dual of [(1205890, 4), 4823328, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3232, 1205890, F3, 3, 24) (dual of [(1205890, 3), 3617438, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3232, 1594339, F3, 3, 24) (dual of [(1594339, 3), 4782785, 25]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3231, 1594339, F3, 3, 24) (dual of [(1594339, 3), 4782786, 25]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3231, 4783017, F3, 24) (dual of [4783017, 4782786, 25]-code), using
- construction X applied to Ce(24) ⊂ Ce(19) [i] based on
- linear OA(3225, 4782969, F3, 25) (dual of [4782969, 4782744, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3183, 4782969, F3, 20) (dual of [4782969, 4782786, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- 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(24) ⊂ Ce(19) [i] based on
- OOA 3-folding [i] based on linear OA(3231, 4783017, F3, 24) (dual of [4783017, 4782786, 25]-code), using
- 31 times duplication [i] based on linear OOA(3231, 1594339, F3, 3, 24) (dual of [(1594339, 3), 4782786, 25]-NRT-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(3232, 401963, F3, 28, 24) (dual of [(401963, 28), 11254732, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |