Information on Result #899754
Linear OOA(2549, 381, F25, 2, 18) (dual of [(381, 2), 713, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2513, 66, F25, 2, 9) (dual of [(66, 2), 119, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,122P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2536, 315, F25, 2, 18) (dual of [(315, 2), 594, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2536, 630, F25, 18) (dual of [630, 594, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(15) [i] based on
- linear OA(2535, 625, F25, 18) (dual of [625, 590, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2531, 625, F25, 16) (dual of [625, 594, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(251, 5, F25, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(2536, 630, F25, 18) (dual of [630, 594, 19]-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.