Information on Result #900313
Linear OOA(25106, 447, F25, 2, 38) (dual of [(447, 2), 788, 39]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2529, 126, F25, 2, 19) (dual of [(126, 2), 223, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,232P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- extended algebraic-geometric NRT-code AGe(2;F,232P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- linear OOA(2577, 321, F25, 2, 38) (dual of [(321, 2), 565, 39]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2577, 642, F25, 38) (dual of [642, 565, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(31) [i] based on
- linear OA(2572, 625, F25, 38) (dual of [625, 553, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(2560, 625, F25, 32) (dual of [625, 565, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(255, 17, F25, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,25)), using
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- Reed–Solomon code RS(20,25) [i]
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- construction X applied to Ce(37) ⊂ Ce(31) [i] based on
- OOA 2-folding [i] based on linear OA(2577, 642, F25, 38) (dual of [642, 565, 39]-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.