Information on Result #1198346
Digital (83, 105, 48330)-net over F27, using net defined by OOA based on linear OOA(27105, 48330, F27, 22, 22) (dual of [(48330, 22), 1063155, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(27105, 531630, F27, 22) (dual of [531630, 531525, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(27105, 531631, F27, 22) (dual of [531631, 531526, 23]-code), using
- (u, u+v)-construction [i] based on
- linear OA(2720, 186, F27, 11) (dual of [186, 166, 12]-code), using
- construction XX applied to C1 = C([181,8]), C2 = C([0,9]), C3 = C1 + C2 = C([0,8]), and C∩ = C1 ∩ C2 = C([181,9]) [i] based on
- linear OA(2718, 182, F27, 10) (dual of [182, 164, 11]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−1,0,…,8}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2718, 182, F27, 10) (dual of [182, 164, 11]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2720, 182, F27, 11) (dual of [182, 162, 12]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−1,0,…,9}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2716, 182, F27, 9) (dual of [182, 166, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([181,8]), C2 = C([0,9]), C3 = C1 + C2 = C([0,8]), and C∩ = C1 ∩ C2 = C([181,9]) [i] based on
- linear OA(2785, 531445, F27, 22) (dual of [531445, 531360, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(2785, 531441, F27, 22) (dual of [531441, 531356, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2781, 531441, F27, 21) (dual of [531441, 531360, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s (see above)
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(2720, 186, F27, 11) (dual of [186, 166, 12]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(27105, 531631, F27, 22) (dual of [531631, 531526, 23]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.