Information on Result #695496
Linear OA(2797, 766, F27, 43) (dual of [766, 669, 44]-code), using construction X applied to C([0,21]) ⊂ C([0,15]) based on
- linear OA(2785, 730, F27, 43) (dual of [730, 645, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(2761, 730, F27, 31) (dual of [730, 669, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(2712, 36, F27, 11) (dual of [36, 24, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2712, 38, F27, 11) (dual of [38, 26, 12]-code), using
- extended algebraic-geometric code AGe(F,26P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(2712, 38, F27, 11) (dual of [38, 26, 12]-code), using
Mode: Constructive and 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
None.