Information on Result #736859
Linear OA(3188, 177203, F3, 25) (dual of [177203, 177015, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
- 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(3133, 177148, F3, 19) (dual of [177148, 177015, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(3188, 177203, F3, 24) (dual of [177203, 177015, 25]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3190, 177205, F3, 25) (dual of [177205, 177015, 26]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3191, 177206, F3, 25) (dual of [177206, 177015, 26]-code) | [i] | ||
| 4 | Linear OA(3192, 177207, F3, 25) (dual of [177207, 177015, 26]-code) | [i] | ||
| 5 | Linear OA(3187, 177202, F3, 24) (dual of [177202, 177015, 25]-code) | [i] | Truncation | |
| 6 | Linear OOA(3188, 88601, F3, 2, 25) (dual of [(88601, 2), 177014, 26]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3188, 59067, F3, 3, 25) (dual of [(59067, 3), 177013, 26]-NRT-code) | [i] | ||
| 8 | Linear OOA(3188, 44300, F3, 4, 25) (dual of [(44300, 4), 177012, 26]-NRT-code) | [i] | ||
| 9 | Linear OOA(3188, 35440, F3, 5, 25) (dual of [(35440, 5), 177012, 26]-NRT-code) | [i] | ||
| 10 | Linear OOA(3188, 14766, F3, 25, 25) (dual of [(14766, 25), 368962, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |