Information on Result #899802
Linear OOA(2567, 7866, F25, 2, 19) (dual of [(7866, 2), 15665, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2512, 52, F25, 2, 9) (dual of [(52, 2), 92, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,94P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- linear OOA(2555, 7814, F25, 2, 19) (dual of [(7814, 2), 15573, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2555, 15628, F25, 19) (dual of [15628, 15573, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(2555, 15625, F25, 19) (dual of [15625, 15570, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2552, 15625, F25, 18) (dual of [15625, 15573, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(18) ⊂ Ce(17) [i] based on
- OOA 2-folding [i] based on linear OA(2555, 15628, F25, 19) (dual of [15628, 15573, 20]-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.