Information on Result #677254
Linear OA(399, 261, F3, 31) (dual of [261, 162, 32]-code), using construction X applied to Ce(30) ⊂ Ce(24) based on
- linear OA(391, 243, F3, 31) (dual of [243, 152, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(381, 243, F3, 25) (dual of [243, 162, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(38, 18, F3, 5) (dual of [18, 10, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 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(399, 261, F3, 30) (dual of [261, 162, 31]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3100, 262, F3, 31) (dual of [262, 162, 32]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(398, 260, F3, 30) (dual of [260, 162, 31]-code) | [i] | Truncation | |
| 4 | Linear OA(397, 259, F3, 29) (dual of [259, 162, 30]-code) | [i] | ||
| 5 | Linear OA(3100, 263, F3, 31) (dual of [263, 163, 32]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(399, 130, F3, 2, 31) (dual of [(130, 2), 161, 32]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(399, 87, F3, 3, 31) (dual of [(87, 3), 162, 32]-NRT-code) | [i] | ||