Information on Result #902738
Linear OOA(32102, 637, F32, 2, 37) (dual of [(637, 2), 1172, 38]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3229, 120, F32, 2, 18) (dual of [(120, 2), 211, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,221P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OOA(3273, 517, F32, 2, 37) (dual of [(517, 2), 961, 38]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3273, 1034, F32, 37) (dual of [1034, 961, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(32) [i] based on
- linear OA(3270, 1024, F32, 37) (dual of [1024, 954, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3263, 1024, F32, 33) (dual of [1024, 961, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(323, 10, F32, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,32) or 10-cap in PG(2,32)), using
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- Reed–Solomon code RS(29,32) [i]
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- construction X applied to Ce(36) ⊂ Ce(32) [i] based on
- OOA 2-folding [i] based on linear OA(3273, 1034, F32, 37) (dual of [1034, 961, 38]-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.