Information on Result #900339
Linear OOA(25108, 404, F25, 2, 40) (dual of [(404, 2), 700, 41]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2539, 314, F25, 2, 20) (dual of [(314, 2), 589, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2539, 628, F25, 20) (dual of [628, 589, 21]-code), using
- construction XX applied to C1 = C([623,17]), C2 = C([0,18]), C3 = C1 + C2 = C([0,17]), and C∩ = C1 ∩ C2 = C([623,18]) [i] based on
- linear OA(2537, 624, F25, 19) (dual of [624, 587, 20]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,17}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2537, 624, F25, 19) (dual of [624, 587, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2539, 624, F25, 20) (dual of [624, 585, 21]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,18}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2535, 624, F25, 18) (dual of [624, 589, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [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([623,17]), C2 = C([0,18]), C3 = C1 + C2 = C([0,17]), and C∩ = C1 ∩ C2 = C([623,18]) [i] based on
- OOA 2-folding [i] based on linear OA(2539, 628, F25, 20) (dual of [628, 589, 21]-code), using
- linear OOA(2569, 202, F25, 2, 40) (dual of [(202, 2), 335, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2569, 203, F25, 2, 40) (dual of [(203, 2), 337, 41]-NRT-code), using
- construction X applied to AG(2;F,357P) ⊂ AG(2;F,362P) [i] based on
- linear OOA(2565, 199, F25, 2, 40) (dual of [(199, 2), 333, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,357P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OOA(2560, 199, F25, 2, 35) (dual of [(199, 2), 338, 36]-NRT-code), using algebraic-geometric NRT-code AG(2;F,362P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OOA(254, 4, F25, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(254, 25, F25, 2, 4) (dual of [(25, 2), 46, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;46,25) [i]
- discarding factors / shortening the dual code based on linear OOA(254, 25, F25, 2, 4) (dual of [(25, 2), 46, 5]-NRT-code), using
- construction X applied to AG(2;F,357P) ⊂ AG(2;F,362P) [i] based on
- discarding factors / shortening the dual code based on linear OOA(2569, 203, F25, 2, 40) (dual of [(203, 2), 337, 41]-NRT-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.