Information on Result #2295483
Linear OA(2103, 204, F2, 29) (dual of [204, 101, 30]-code), using adding a parity check bit based on linear OA(2102, 203, F2, 28) (dual of [203, 101, 29]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(297, 197, F2, 28) (dual of [197, 100, 29]-code), using
- 3 times truncation [i] based on linear OA(2100, 200, F2, 31) (dual of [200, 100, 32]-code), using
- adding a parity check bit [i] based on linear OA(299, 199, F2, 30) (dual of [199, 100, 31]-code), using
- a “TjhaiTomlinson†code from Grassl’s database [i]
- adding a parity check bit [i] based on linear OA(299, 199, F2, 30) (dual of [199, 100, 31]-code), using
- 3 times truncation [i] based on linear OA(2100, 200, F2, 31) (dual of [200, 100, 32]-code), using
- linear OA(297, 198, F2, 23) (dual of [198, 101, 24]-code), using Gilbert–Varšamov bound and bm = 297 > Vbs−1(k−1) = 90403 087466 388795 880013 350624 [i]
- linear OA(24, 5, F2, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,2)), using
- dual of repetition code with length 5 [i]
- linear OA(297, 197, F2, 28) (dual of [197, 100, 29]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2103, 204, F2, 28) (dual of [204, 101, 29]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2104, 205, F2, 29) (dual of [205, 101, 30]-code) | [i] | Code Embedding in Larger Space | |