Information on Result #674689
Linear OA(3156, 177159, F3, 22) (dual of [177159, 177003, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- linear OA(3155, 177147, F3, 22) (dual of [177147, 176992, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3144, 177147, F3, 20) (dual of [177147, 177003, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(31, 12, F3, 1) (dual of [12, 11, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and 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 OA(3157, 177160, F3, 22) (dual of [177160, 177003, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3158, 177161, F3, 22) (dual of [177161, 177003, 23]-code) | [i] | ||
| 3 | Linear OA(3155, 177158, F3, 21) (dual of [177158, 177003, 22]-code) | [i] | Truncation | |
| 4 | Linear OOA(3156, 88579, F3, 2, 22) (dual of [(88579, 2), 177002, 23]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3156, 59053, F3, 3, 22) (dual of [(59053, 3), 177003, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(3156, 44289, F3, 4, 22) (dual of [(44289, 4), 177000, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(3156, 35431, F3, 5, 22) (dual of [(35431, 5), 176999, 23]-NRT-code) | [i] | ||
| 8 | Linear OOA(3156, 16105, F3, 22, 22) (dual of [(16105, 22), 354154, 23]-NRT-code) | [i] | OA Folding and Stacking | |