Information on Result #1297643
Linear OA(2241, 387, F2, 64) (dual of [387, 146, 65]-code), using construction X with Varšamov bound based on
- linear OA(2238, 383, F2, 64) (dual of [383, 145, 65]-code), using
- 1 times truncation [i] based on linear OA(2239, 384, F2, 65) (dual of [384, 145, 66]-code), using
- concatenation of two codes [i] based on
- linear OA(3235, 64, F32, 32) (dual of [64, 29, 33]-code), using
- extended algebraic-geometric code AGe(F,31P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(21, 6, F2, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(3235, 64, F32, 32) (dual of [64, 29, 33]-code), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(2239, 384, F2, 65) (dual of [384, 145, 66]-code), using
- linear OA(2238, 384, F2, 61) (dual of [384, 146, 62]-code), using Gilbert–Varšamov bound and bm = 2238 > Vbs−1(k−1) = 109738 095742 159983 452491 902795 900711 813379 513686 549026 438298 360445 897301 [i]
- linear OA(22, 3, F2, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,2)), using
- dual of repetition code with length 3 [i]
- Hamming code H(2,2) [i]
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 OA(2242, 388, F2, 65) (dual of [388, 146, 66]-code) | [i] | Adding a Parity Check Bit | |