Information on Result #906719
Linear OOA(2520, 4882850, F25, 2, 4) (dual of [(4882850, 2), 9765680, 5]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(250, s, F25, 2, 0) for arbitrarily large s, using
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(250, 195314, F25, 2, 0) (dual of [(195314, 2), 390628, 1]-NRT-code) (see above)
- linear OOA(251, 195314, F25, 2, 1) (dual of [(195314, 2), 390627, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(251, s, F25, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(251, s, F25, 2, 1) for arbitrarily large s, using
- linear OOA(251, 195314, F25, 2, 1) (dual of [(195314, 2), 390627, 2]-NRT-code) (see above)
- linear OOA(255, 195314, F25, 2, 2) (dual of [(195314, 2), 390623, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(255, 406901, F25, 2, 2) (dual of [(406901, 2), 813797, 3]-NRT-code), using
- appending kth column [i] based on linear OA(255, 406901, F25, 2) (dual of [406901, 406896, 3]-code), using
- Hamming code H(5,25) [i]
- appending kth column [i] based on linear OA(255, 406901, F25, 2) (dual of [406901, 406896, 3]-code), using
- discarding factors / shortening the dual code based on linear OOA(255, 406901, F25, 2, 2) (dual of [(406901, 2), 813797, 3]-NRT-code), using
- linear OOA(2513, 195314, F25, 2, 4) (dual of [(195314, 2), 390615, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2513, 390628, F25, 4) (dual of [390628, 390615, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(2513, 390629, F25, 4) (dual of [390629, 390616, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(2513, 390625, F25, 4) (dual of [390625, 390612, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(259, 390625, F25, 3) (dual of [390625, 390616, 4]-code or 390625-cap in PG(8,25)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- discarding factors / shortening the dual code based on linear OA(2513, 390629, F25, 4) (dual of [390629, 390616, 5]-code), using
- OOA 2-folding [i] based on linear OA(2513, 390628, F25, 4) (dual of [390628, 390615, 5]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2520, 4882849, F25, 6, 4) (dual of [(4882849, 6), 29297074, 5]-NRT-code) | [i] | OOA Stacking with Additional Row | |