Information on Result #1849217
OOA(12856, 21037, S128, 4, 23), using extracting embedded OOA based on (33, 56, 21037)-net in base 128, using
- base change [i] based on digital (26, 49, 21037)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25649, 21037, F256, 3, 23) (dual of [(21037, 3), 63062, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25649, 21850, F256, 3, 23) (dual of [(21850, 3), 65501, 24]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25649, 65550, F256, 23) (dual of [65550, 65501, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- linear OA(25645, 65536, F256, 23) (dual of [65536, 65491, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2564, 14, F256, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,256)), using
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- Reed–Solomon code RS(252,256) [i]
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- OOA 3-folding [i] based on linear OA(25649, 65550, F256, 23) (dual of [65550, 65501, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(25649, 21850, F256, 3, 23) (dual of [(21850, 3), 65501, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25649, 21037, F256, 3, 23) (dual of [(21037, 3), 63062, 24]-NRT-code), using
Mode: Arbitrary.
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 | OOA(12857, 21037, S128, 4, 23) | [i] | OOA Duplication | |