Information on Result #1686888
Linear OOA(2224, 6565, F2, 7, 29) (dual of [(6565, 7), 45731, 30]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2224, 6565, F2, 5, 29) (dual of [(6565, 5), 32601, 30]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2224, 32825, F2, 29) (dual of [32825, 32601, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(2224, 32826, F2, 29) (dual of [32826, 32602, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- linear OA(2211, 32768, F2, 29) (dual of [32768, 32557, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2166, 32768, F2, 23) (dual of [32768, 32602, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(213, 58, F2, 5) (dual of [58, 45, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(2224, 32826, F2, 29) (dual of [32826, 32602, 30]-code), using
Mode: 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2224, 3282, F2, 35, 29) (dual of [(3282, 35), 114646, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |