Information on Result #1198345
Linear OOA(27105, 48330, F27, 22, 22) (dual of [(48330, 22), 1063155, 23]-NRT-code), using OA 11-folding and stacking 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
Mode: Constructive and linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (83, 105, 48330)-net over F27 | [i] | Net Defined by OOA | |