Information on Result #812508
Linear OOA(319, 367, F3, 2, 5) (dual of [(367, 2), 715, 6]-NRT-code), using OOA 2-folding based on linear OA(319, 734, F3, 5) (dual of [734, 715, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(319, 735, F3, 5) (dual of [735, 716, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(319, 729, F3, 5) (dual of [729, 710, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(313, 729, F3, 4) (dual of [729, 716, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(30, 6, F3, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(4) ⊂ Ce(3) [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 OOA(3110, 4194668, F3, 2, 10) (dual of [(4194668, 2), 8389226, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3125, 4194668, F3, 2, 11) (dual of [(4194668, 2), 8389211, 12]-NRT-code) | [i] | ||