Information on Result #1523048
Linear OOA(3127, 665, F3, 3, 31) (dual of [(665, 3), 1868, 32]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3127, 665, F3, 31) (dual of [665, 538, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3127, 758, F3, 31) (dual of [758, 631, 32]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3126, 757, F3, 31) (dual of [757, 631, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(24) [i] 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
- construction X applied to Ce(30) ⊂ Ce(24) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3126, 757, F3, 31) (dual of [757, 631, 32]-code), using
Mode: 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 OOA(3127, 332, F3, 5, 31) (dual of [(332, 5), 1533, 32]-NRT-code) | [i] | OOA Folding | |