Information on Result #900175
Linear OOA(25108, 7882, F25, 2, 31) (dual of [(7882, 2), 15656, 32]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2519, 66, F25, 2, 15) (dual of [(66, 2), 113, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,116P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2589, 7816, F25, 2, 31) (dual of [(7816, 2), 15543, 32]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2589, 15632, F25, 31) (dual of [15632, 15543, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- 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(2582, 15625, F25, 29) (dual of [15625, 15543, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 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(30) ⊂ Ce(28) [i] based on
- OOA 2-folding [i] based on linear OA(2589, 15632, F25, 31) (dual of [15632, 15543, 32]-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.