Information on Result #1307715
Linear OA(494, 4247, F4, 19) (dual of [4247, 4153, 20]-code), using 136 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 5 times 0, 1, 11 times 0, 1, 20 times 0, 1, 34 times 0, 1, 57 times 0) based on linear OA(485, 4102, F4, 19) (dual of [4102, 4017, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(485, 4096, F4, 19) (dual of [4096, 4011, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(479, 4096, F4, 18) (dual of [4096, 4017, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(494, 4247, F4, 2, 19) (dual of [(4247, 2), 8400, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(494, 4247, F4, 3, 19) (dual of [(4247, 3), 12647, 20]-NRT-code) | [i] | ||
| 3 | Digital (75, 94, 4247)-net over F4 | [i] | ||
| 4 | Linear OOA(494, 2123, F4, 2, 19) (dual of [(2123, 2), 4152, 20]-NRT-code) | [i] | OOA Folding | |