Information on Result #900197
Linear OOA(25110, 7866, F25, 2, 32) (dual of [(7866, 2), 15622, 33]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2519, 52, F25, 2, 16) (dual of [(52, 2), 85, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,87P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- linear OOA(2591, 7814, F25, 2, 32) (dual of [(7814, 2), 15537, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2591, 15628, F25, 32) (dual of [15628, 15537, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- linear OA(2591, 15625, F25, 32) (dual of [15625, 15534, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2588, 15625, F25, 31) (dual of [15625, 15537, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 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
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- OOA 2-folding [i] based on linear OA(2591, 15628, F25, 32) (dual of [15628, 15537, 33]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(25110, 983, F25, 34, 32) (dual of [(983, 34), 33312, 33]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |