Information on Result #1595618
Linear OOA(2204, 1209, F2, 4, 34) (dual of [(1209, 4), 4632, 35]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2204, 1209, F2, 3, 34) (dual of [(1209, 3), 3423, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2204, 1365, F2, 3, 34) (dual of [(1365, 3), 3891, 35]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2204, 4095, F2, 34) (dual of [4095, 3891, 35]-code), using
- 1 times truncation [i] based on linear OA(2205, 4096, F2, 35) (dual of [4096, 3891, 36]-code), using
- an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- 1 times truncation [i] based on linear OA(2205, 4096, F2, 35) (dual of [4096, 3891, 36]-code), using
- OOA 3-folding [i] based on linear OA(2204, 4095, F2, 34) (dual of [4095, 3891, 35]-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(2204, 604, F2, 7, 34) (dual of [(604, 7), 4024, 35]-NRT-code) | [i] | OOA Folding | |
2 | Linear OOA(2204, 604, F2, 8, 34) (dual of [(604, 8), 4628, 35]-NRT-code) | [i] |