Information on Result #674687
Linear OA(3178, 177159, F3, 25) (dual of [177159, 176981, 26]-code), using construction X applied to Ce(24) ⊂ Ce(22) based on
- linear OA(3177, 177147, F3, 25) (dual of [177147, 176970, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3166, 177147, F3, 23) (dual of [177147, 176981, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(3179, 177160, F3, 25) (dual of [177160, 176981, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3180, 177161, F3, 25) (dual of [177161, 176981, 26]-code) | [i] | ||
| 3 | Linear OA(3177, 177158, F3, 24) (dual of [177158, 176981, 25]-code) | [i] | Truncation | |
| 4 | Linear OOA(3178, 88579, F3, 2, 25) (dual of [(88579, 2), 176980, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3178, 59053, F3, 3, 25) (dual of [(59053, 3), 176981, 26]-NRT-code) | [i] | ||
| 6 | Linear OOA(3178, 44289, F3, 4, 25) (dual of [(44289, 4), 176978, 26]-NRT-code) | [i] | ||
| 7 | Linear OOA(3178, 35431, F3, 5, 25) (dual of [(35431, 5), 176977, 26]-NRT-code) | [i] | ||
| 8 | Linear OOA(3178, 14763, F3, 25, 25) (dual of [(14763, 25), 368897, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |