Information on Result #900238
Linear OOA(2595, 402, F25, 2, 35) (dual of [(402, 2), 709, 36]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2533, 314, F25, 2, 17) (dual of [(314, 2), 595, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2533, 628, F25, 17) (dual of [628, 595, 18]-code), using
- construction XX applied to C1 = C([623,14]), C2 = C([0,15]), C3 = C1 + C2 = C([0,14]), and C∩ = C1 ∩ C2 = C([623,15]) [i] based on
- linear OA(2531, 624, F25, 16) (dual of [624, 593, 17]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,14}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2531, 624, F25, 16) (dual of [624, 593, 17]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2533, 624, F25, 17) (dual of [624, 591, 18]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,15}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2529, 624, F25, 15) (dual of [624, 595, 16]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [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([623,14]), C2 = C([0,15]), C3 = C1 + C2 = C([0,14]), and C∩ = C1 ∩ C2 = C([623,15]) [i] based on
- OOA 2-folding [i] based on linear OA(2533, 628, F25, 17) (dual of [628, 595, 18]-code), using
- linear OOA(2562, 201, F25, 2, 35) (dual of [(201, 2), 340, 36]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2560, 200, F25, 2, 35) (dual of [(200, 2), 340, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,364P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2560, 200, F25, 2, 35) (dual of [(200, 2), 340, 36]-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.