Information on Result #865870
Linear OOA(27107, 265763, F27, 2, 23) (dual of [(265763, 2), 531419, 24]-NRT-code), using OOA 2-folding based on linear OA(27107, 531526, F27, 23) (dual of [531526, 531419, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(27107, 531527, F27, 23) (dual of [531527, 531420, 24]-code), using
- (u, u+v)-construction [i] based on
- linear OA(2718, 82, F27, 11) (dual of [82, 64, 12]-code), using
- extended algebraic-geometric code AGe(F,70P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- linear OA(2789, 531445, F27, 23) (dual of [531445, 531356, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(2789, 531441, F27, 23) (dual of [531441, 531352, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2785, 531441, F27, 22) (dual of [531441, 531356, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(2718, 82, F27, 11) (dual of [82, 64, 12]-code), using
- (u, u+v)-construction [i] based on
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.