Information on Result #644115

Linear OA(815, 26, F8, 11) (dual of [26, 11, 12]-code), using construction X applied to AG(F,11P) ⊂ AG(F,13P) based on
  1. linear OA(814, 23, F8, 11) (dual of [23, 9, 12]-code), using algebraic-geometric code AG(F,11P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
  2. linear OA(812, 23, F8, 9) (dual of [23, 11, 10]-code), using algebraic-geometric code AG(F,13P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (see above)
  3. linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(2123, 78, F2, 2, 47) (dual of [(78, 2), 33, 48]-NRT-code) [i]Concatenation of Two NRT-Codes
2Linear OOA(2201, 78, F2, 3, 83) (dual of [(78, 3), 33, 84]-NRT-code) [i]
3Linear OA(872, 90, F8, 44) (dual of [90, 18, 45]-code) [i]Construction X with Algebraic-Geometric Codes
4Linear OA(871, 90, F8, 43) (dual of [90, 19, 44]-code) [i]
5Linear OA(870, 90, F8, 42) (dual of [90, 20, 43]-code) [i]
6Linear OA(868, 90, F8, 40) (dual of [90, 22, 41]-code) [i]
7Linear OA(867, 90, F8, 39) (dual of [90, 23, 40]-code) [i]
8Linear OA(866, 90, F8, 38) (dual of [90, 24, 39]-code) [i]
9Linear OA(865, 90, F8, 37) (dual of [90, 25, 38]-code) [i]
10Linear OA(863, 90, F8, 35) (dual of [90, 27, 36]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
11Linear OOA(815, 13, F8, 2, 11) (dual of [(13, 2), 11, 12]-NRT-code) [i]OOA Folding