Information on Result #1307813
Linear OA(4107, 4197, F4, 22) (dual of [4197, 4090, 23]-code), using 85 step Varšamov–Edel lengthening with (ri) = (3, 1, 1, 0, 0, 1, 4 times 0, 1, 7 times 0, 1, 12 times 0, 1, 20 times 0, 1, 32 times 0) based on linear OA(497, 4102, F4, 22) (dual of [4102, 4005, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(497, 4096, F4, 22) (dual of [4096, 3999, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(491, 4096, F4, 21) (dual of [4096, 4005, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(40, 6, F4, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(4107, 4197, F4, 2, 22) (dual of [(4197, 2), 8287, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4107, 4197, F4, 3, 22) (dual of [(4197, 3), 12484, 23]-NRT-code) | [i] | ||
| 3 | Digital (85, 107, 4197)-net over F4 | [i] | ||
| 4 | Linear OOA(4107, 2098, F4, 2, 22) (dual of [(2098, 2), 4089, 23]-NRT-code) | [i] | OOA Folding | |