Information on Result #677187
Linear OA(396, 253, F3, 31) (dual of [253, 157, 32]-code), using construction X applied to Ce(30) ⊂ Ce(25) 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(386, 243, F3, 26) (dual of [243, 157, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(35, 10, F3, 4) (dual of [10, 5, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- Golay code G(3) [i]
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-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(395, 252, F3, 30) (dual of [252, 157, 31]-code) | [i] | Truncation | |
| 2 | Linear OA(394, 251, F3, 29) (dual of [251, 157, 30]-code) | [i] | ||
| 3 | Linear OOA(396, 126, F3, 2, 31) (dual of [(126, 2), 156, 32]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(396, 84, F3, 3, 31) (dual of [(84, 3), 156, 32]-NRT-code) | [i] | ||