Information on Result #1200547
Linear OOA(4927, 491, F49, 11, 11) (dual of [(491, 11), 5374, 12]-NRT-code), using OOA 5-folding and stacking with additional row based on linear OA(4927, 2456, F49, 11) (dual of [2456, 2429, 12]-code), using
- (u, u+v)-construction [i] based on
- linear OA(496, 53, F49, 5) (dual of [53, 47, 6]-code), using
- construction for [s, s−6, 6]-code from [s, 3, s−3]-code [i] based on linear OA(4950, 53, F49, 49) (dual of [53, 3, 50]-code), using
- construction X applied to C1 ⊂ C0 [i] based on
- linear OA(4949, 50, F49, 49) (dual of [50, 1, 50]-code or 50-arc in PG(48,49)), using code C1 for u = 2 by de Boer and Brouwer [i]
- linear OA(4947, 50, F49, 47) (dual of [50, 3, 48]-code or 50-arc in PG(46,49)), using code C0 for u = 2 by de Boer and Brouwer [i]
- linear OA(491, 3, F49, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C1 ⊂ C0 [i] based on
- construction for [s, s−6, 6]-code from [s, 3, s−3]-code [i] based on linear OA(4950, 53, F49, 49) (dual of [53, 3, 50]-code), using
- linear OA(4921, 2403, F49, 11) (dual of [2403, 2382, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(4921, 2401, F49, 11) (dual of [2401, 2380, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(4919, 2401, F49, 10) (dual of [2401, 2382, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(496, 53, F49, 5) (dual of [53, 47, 6]-code), using
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 (16, 27, 491)-net over F49 | [i] | Net Defined by OOA | |