Information on Result #690627
Linear OA(998, 758, F9, 33) (dual of [758, 660, 34]-code), using construction XX applied to Ce(32) ⊂ Ce(25) ⊂ Ce(24) based on
- linear OA(988, 729, F9, 33) (dual of [729, 641, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(970, 729, F9, 26) (dual of [729, 659, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(967, 729, F9, 25) (dual of [729, 662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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.