Information on Result #1411576
Linear OOA(3154, 811, F3, 2, 37) (dual of [(811, 2), 1468, 38]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3154, 811, F3, 37) (dual of [811, 657, 38]-code), using
- 64 step Varšamov–Edel lengthening with (ri) = (3, 1, 1, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 7 times 0, 1, 10 times 0, 1, 13 times 0, 1, 16 times 0) [i] based on linear OA(3143, 736, F3, 37) (dual of [736, 593, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
- linear OA(3142, 729, F3, 37) (dual of [729, 587, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3136, 729, F3, 35) (dual of [729, 593, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(31, 7, F3, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
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(3154, 405, F3, 3, 37) (dual of [(405, 3), 1061, 38]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3154, 405, F3, 4, 37) (dual of [(405, 4), 1466, 38]-NRT-code) | [i] | ||