Information on Result #690659
Linear OA(968, 758, F9, 22) (dual of [758, 690, 23]-code), using construction XX applied to Ce(21) ⊂ Ce(14) ⊂ Ce(13) based on
- linear OA(958, 729, F9, 22) (dual of [729, 671, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(940, 729, F9, 15) (dual of [729, 689, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(937, 729, F9, 14) (dual of [729, 692, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(99, 28, F9, 6) (dual of [28, 19, 7]-code), using
- extended algebraic-geometric code AGe(F,21P) [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,21P) [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.
Other Results with Identical Parameters
None.
Depending Results
None.