Information on Result #691420
Linear OA(985, 110, F9, 53) (dual of [110, 25, 54]-code), using construction XX applied to Ce(52) ⊂ Ce(40) ⊂ Ce(39) based on
- linear OA(970, 81, F9, 53) (dual of [81, 11, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(957, 81, F9, 41) (dual of [81, 24, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(956, 81, F9, 40) (dual of [81, 25, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(914, 28, F9, 11) (dual of [28, 14, 12]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(985, 55, F9, 2, 53) (dual of [(55, 2), 25, 54]-NRT-code) | [i] | OOA Folding | |