Information on Result #736857
Linear OA(3232, 177203, F3, 31) (dual of [177203, 176971, 32]-code), using construction X applied to C([0,15]) ⊂ C([0,12]) based on
- 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(3177, 177148, F3, 25) (dual of [177148, 176971, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(311, 55, F3, 5) (dual of [55, 44, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), 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(3232, 177203, F3, 30) (dual of [177203, 176971, 31]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3234, 177205, F3, 31) (dual of [177205, 176971, 32]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3235, 177206, F3, 31) (dual of [177206, 176971, 32]-code) | [i] | ||
| 4 | Linear OA(3236, 177207, F3, 31) (dual of [177207, 176971, 32]-code) | [i] | ||
| 5 | Linear OA(3231, 177202, F3, 30) (dual of [177202, 176971, 31]-code) | [i] | Truncation | |
| 6 | Linear OOA(3232, 88601, F3, 2, 31) (dual of [(88601, 2), 176970, 32]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3232, 59067, F3, 3, 31) (dual of [(59067, 3), 176969, 32]-NRT-code) | [i] | ||
| 8 | Linear OOA(3232, 44300, F3, 4, 31) (dual of [(44300, 4), 176968, 32]-NRT-code) | [i] | ||
| 9 | Linear OOA(3232, 35440, F3, 5, 31) (dual of [(35440, 5), 176968, 32]-NRT-code) | [i] | ||
| 10 | Linear OOA(3232, 11813, F3, 31, 31) (dual of [(11813, 31), 365971, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |