Information on Result #1608370
Linear OOA(3197, 176322, F3, 4, 24) (dual of [(176322, 4), 705091, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3197, 176322, F3, 3, 24) (dual of [(176322, 3), 528769, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3197, 177156, F3, 3, 24) (dual of [(177156, 3), 531271, 25]-NRT-code), using
- strength reduction [i] based on linear OOA(3197, 177156, F3, 3, 25) (dual of [(177156, 3), 531271, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3197, 531468, F3, 25) (dual of [531468, 531271, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3197, 531469, F3, 25) (dual of [531469, 531272, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(3193, 531441, F3, 25) (dual of [531441, 531248, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- 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(34, 28, F3, 2) (dual of [28, 24, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(3197, 531469, F3, 25) (dual of [531469, 531272, 26]-code), using
- OOA 3-folding [i] based on linear OA(3197, 531468, F3, 25) (dual of [531468, 531271, 26]-code), using
- strength reduction [i] based on linear OOA(3197, 177156, F3, 3, 25) (dual of [(177156, 3), 531271, 26]-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(3197, 58773, F3, 28, 24) (dual of [(58773, 28), 1645447, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |