Information on Result #902755
Linear OOA(32107, 644, F32, 2, 38) (dual of [(644, 2), 1181, 39]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3235, 131, F32, 2, 19) (dual of [(131, 2), 227, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(329, 33, F32, 2, 9) (dual of [(33, 2), 57, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;57,32) [i]
- linear OOA(3226, 98, F32, 2, 19) (dual of [(98, 2), 170, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,176P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- linear OOA(329, 33, F32, 2, 9) (dual of [(33, 2), 57, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3272, 513, F32, 2, 38) (dual of [(513, 2), 954, 39]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3272, 1026, F32, 38) (dual of [1026, 954, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(36) [i] based on
- linear OA(3272, 1024, F32, 38) (dual of [1024, 952, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- 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(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(37) ⊂ Ce(36) [i] based on
- OOA 2-folding [i] based on linear OA(3272, 1026, F32, 38) (dual of [1026, 954, 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.