Information on Result #1297493
Linear OA(2217, 330, F2, 62) (dual of [330, 113, 63]-code), using construction X with Varšamov bound based on
- linear OA(2212, 324, F2, 62) (dual of [324, 112, 63]-code), using
- 1 times truncation [i] based on linear OA(2213, 325, F2, 63) (dual of [325, 112, 64]-code), using
- concatenation of two codes [i] based on
- linear OA(1637, 65, F16, 31) (dual of [65, 28, 32]-code), using
- extended algebraic-geometric code AGe(F,33P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric code AGe(F,33P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(21, 5, F2, 1) (dual of [5, 4, 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(1637, 65, F16, 31) (dual of [65, 28, 32]-code), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(2213, 325, F2, 63) (dual of [325, 112, 64]-code), using
- linear OA(2212, 325, F2, 57) (dual of [325, 113, 58]-code), using Gilbert–Varšamov bound and bm = 2212 > Vbs−1(k−1) = 4426 073040 912091 218037 681455 577420 093169 466311 540145 745568 231464 [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]
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(2218, 331, F2, 63) (dual of [331, 113, 64]-code) | [i] | Adding a Parity Check Bit | |