Information on Result #1297276
Linear OA(2148, 193, F2, 48) (dual of [193, 45, 49]-code), using construction X with Varšamov bound based on
- linear OA(2145, 189, F2, 48) (dual of [189, 44, 49]-code), using
- 3 times truncation [i] based on linear OA(2148, 192, F2, 51) (dual of [192, 44, 52]-code), using
- concatenation of two codes [i] based on
- linear OA(1613, 24, F16, 12) (dual of [24, 11, 13]-code), using
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
- linear OA(1613, 24, F16, 12) (dual of [24, 11, 13]-code), using
- concatenation of two codes [i] based on
- 3 times truncation [i] based on linear OA(2148, 192, F2, 51) (dual of [192, 44, 52]-code), using
- linear OA(2145, 190, F2, 45) (dual of [190, 45, 46]-code), using Gilbert–Varšamov bound and bm = 2145 > Vbs−1(k−1) = 33 910180 045039 419250 950558 986482 721660 212607 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.