Information on Result #1427769
Linear OOA(4193, 4915, F4, 2, 40) (dual of [(4915, 2), 9637, 41]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4193, 4915, F4, 40) (dual of [4915, 4722, 41]-code), using
- 806 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 1, 0, 0, 0, 1, 8 times 0, 1, 17 times 0, 1, 32 times 0, 1, 57 times 0, 1, 89 times 0, 1, 120 times 0, 1, 143 times 0, 1, 157 times 0, 1, 167 times 0) [i] based on linear OA(4180, 4096, F4, 40) (dual of [4096, 3916, 41]-code), using
- 1 times truncation [i] based on linear OA(4181, 4097, F4, 41) (dual of [4097, 3916, 42]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(4181, 4097, F4, 41) (dual of [4097, 3916, 42]-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(4193, 2457, F4, 3, 40) (dual of [(2457, 3), 7178, 41]-NRT-code) | [i] | OOA Folding | |