Information on Result #674617
Linear OA(3244, 177171, F3, 33) (dual of [177171, 176927, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,15]) based on
- linear OA(3243, 177148, F3, 33) (dual of [177148, 176905, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(3221, 177148, F3, 31) (dual of [177148, 176927, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(31, 23, F3, 1) (dual of [23, 22, 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(3245, 177172, F3, 33) (dual of [177172, 176927, 34]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3246, 177173, F3, 33) (dual of [177173, 176927, 34]-code) | [i] | ||
| 3 | Linear OA(3247, 177174, F3, 33) (dual of [177174, 176927, 34]-code) | [i] | ||
| 4 | Linear OA(3248, 177175, F3, 33) (dual of [177175, 176927, 34]-code) | [i] | ||
| 5 | Linear OOA(3244, 88585, F3, 2, 33) (dual of [(88585, 2), 176926, 34]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3244, 59057, F3, 3, 33) (dual of [(59057, 3), 176927, 34]-NRT-code) | [i] | ||
| 7 | Linear OOA(3244, 44292, F3, 4, 33) (dual of [(44292, 4), 176924, 34]-NRT-code) | [i] | ||
| 8 | Linear OOA(3244, 35434, F3, 5, 33) (dual of [(35434, 5), 176926, 34]-NRT-code) | [i] | ||
| 9 | Linear OOA(3244, 11073, F3, 33, 33) (dual of [(11073, 33), 365165, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |