Information on Result #676752
Linear OA(3126, 757, F3, 31) (dual of [757, 631, 32]-code), using construction X applied to Ce(30) ⊂ Ce(24) based on
- linear OA(3118, 729, F3, 31) (dual of [729, 611, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(397, 729, F3, 25) (dual of [729, 632, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
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(3127, 758, F3, 31) (dual of [758, 631, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3129, 762, F3, 31) (dual of [762, 633, 32]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OA(3130, 764, F3, 31) (dual of [764, 634, 32]-code) | [i] | ||
| 4 | Linear OA(3131, 766, F3, 31) (dual of [766, 635, 32]-code) | [i] | ||
| 5 | Linear OOA(3126, 378, F3, 2, 31) (dual of [(378, 2), 630, 32]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3126, 252, F3, 3, 31) (dual of [(252, 3), 630, 32]-NRT-code) | [i] | ||
| 7 | Linear OOA(3126, 189, F3, 4, 31) (dual of [(189, 4), 630, 32]-NRT-code) | [i] | ||