Information on Result #900343
Linear OOA(25106, 440, F25, 2, 40) (dual of [(440, 2), 774, 41]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2530, 126, F25, 2, 20) (dual of [(126, 2), 222, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,231P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- extended algebraic-geometric NRT-code AGe(2;F,231P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- linear OOA(2576, 314, F25, 2, 40) (dual of [(314, 2), 552, 41]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2576, 628, F25, 40) (dual of [628, 552, 41]-code), using
- construction XX applied to C1 = C([623,37]), C2 = C([0,38]), C3 = C1 + C2 = C([0,37]), and C∩ = C1 ∩ C2 = C([623,38]) [i] based on
- linear OA(2574, 624, F25, 39) (dual of [624, 550, 40]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,37}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2574, 624, F25, 39) (dual of [624, 550, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2576, 624, F25, 40) (dual of [624, 548, 41]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,38}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(2572, 624, F25, 38) (dual of [624, 552, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([623,37]), C2 = C([0,38]), C3 = C1 + C2 = C([0,37]), and C∩ = C1 ∩ C2 = C([623,38]) [i] based on
- OOA 2-folding [i] based on linear OA(2576, 628, F25, 40) (dual of [628, 552, 41]-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.
Other Results with Identical Parameters
None.
Depending Results
None.