Information on Result #1297683
Linear OA(2246, 387, F2, 66) (dual of [387, 141, 67]-code), using construction X with Varšamov bound based on
- linear OA(2243, 383, F2, 66) (dual of [383, 140, 67]-code), using
- 1 times truncation [i] based on linear OA(2244, 384, F2, 67) (dual of [384, 140, 68]-code), using
- concatenation of two codes [i] based on
- linear OA(3236, 64, F32, 33) (dual of [64, 28, 34]-code), using
- extended algebraic-geometric code AGe(F,30P) [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(3236, 64, F32, 33) (dual of [64, 28, 34]-code), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(2244, 384, F2, 67) (dual of [384, 140, 68]-code), using
- linear OA(2243, 384, F2, 63) (dual of [384, 141, 64]-code), using Gilbert–Varšamov bound and bm = 2243 > Vbs−1(k−1) = 3 045120 917844 079312 566297 997521 260329 770466 312824 685744 818399 224835 514901 [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(2247, 388, F2, 67) (dual of [388, 141, 68]-code) | [i] | Adding a Parity Check Bit | |