Information on Result #1018920
Linear OOA(8180, 177312, F81, 3, 22) (dual of [(177312, 3), 531856, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8116, 164, F81, 3, 11) (dual of [(164, 3), 476, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(815, 82, F81, 3, 5) (dual of [(82, 3), 241, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;241,81) [i]
- linear OOA(8111, 82, F81, 3, 11) (dual of [(82, 3), 235, 12]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;235,81) [i]
- linear OOA(815, 82, F81, 3, 5) (dual of [(82, 3), 241, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8164, 177148, F81, 3, 22) (dual of [(177148, 3), 531380, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8164, 531444, F81, 22) (dual of [531444, 531380, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(8164, 531441, F81, 22) (dual of [531441, 531377, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(8161, 531441, F81, 21) (dual of [531441, 531380, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- OOA 3-folding [i] based on linear OA(8164, 531444, F81, 22) (dual of [531444, 531380, 23]-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.