Information on Result #900318
Linear OOA(25105, 404, F25, 2, 39) (dual of [(404, 2), 703, 40]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2537, 314, F25, 2, 19) (dual of [(314, 2), 591, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2537, 628, F25, 19) (dual of [628, 591, 20]-code), using
- construction XX applied to C1 = C([623,16]), C2 = C([0,17]), C3 = C1 + C2 = C([0,16]), and C∩ = C1 ∩ C2 = C([623,17]) [i] based on
- linear OA(2535, 624, F25, 18) (dual of [624, 589, 19]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,16}, and designed minimum distance d ≥ |I|+1 = 19 [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(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(2533, 624, F25, 17) (dual of [624, 591, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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([623,16]), C2 = C([0,17]), C3 = C1 + C2 = C([0,16]), and C∩ = C1 ∩ C2 = C([623,17]) [i] based on
- OOA 2-folding [i] based on linear OA(2537, 628, F25, 19) (dual of [628, 591, 20]-code), using
- linear OOA(2568, 202, F25, 2, 39) (dual of [(202, 2), 336, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2568, 203, F25, 2, 39) (dual of [(203, 2), 338, 40]-NRT-code), using
- construction X applied to AG(2;F,358P) ⊂ AG(2;F,363P) [i] based on
- linear OOA(2564, 199, F25, 2, 39) (dual of [(199, 2), 334, 40]-NRT-code), using algebraic-geometric NRT-code AG(2;F,358P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OOA(2559, 199, F25, 2, 34) (dual of [(199, 2), 339, 35]-NRT-code), using algebraic-geometric NRT-code AG(2;F,363P) [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,358P) ⊂ AG(2;F,363P) [i] based on
- discarding factors / shortening the dual code based on linear OOA(2568, 203, F25, 2, 39) (dual of [(203, 2), 338, 40]-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.