Information on Result #1421493
Linear OOA(4102, 4693, F4, 2, 20) (dual of [(4693, 2), 9284, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4102, 4693, F4, 20) (dual of [4693, 4591, 21]-code), using
- 586 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 5 times 0, 1, 11 times 0, 1, 22 times 0, 1, 37 times 0, 1, 62 times 0, 1, 97 times 0, 1, 142 times 0, 1, 198 times 0) [i] based on linear OA(490, 4095, F4, 20) (dual of [4095, 4005, 21]-code), using
- 1 times truncation [i] based on 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]
- 1 times truncation [i] based on linear OA(491, 4096, F4, 21) (dual of [4096, 4005, 22]-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(4102, 2346, F4, 3, 20) (dual of [(2346, 3), 6936, 21]-NRT-code) | [i] | OOA Folding | |