Information on Result #1832519
OOA(12874, 4227070, S128, 2, 17), using (u, u+v)-construction based on
- OOA(12818, 32769, S128, 2, 8), using
- OOA 2-folding [i] based on OA(12818, 65538, S128, 8), using
- discarding parts of the base [i] based on linear OA(25615, 65538, F256, 8) (dual of [65538, 65523, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(25615, 65536, F256, 8) (dual of [65536, 65521, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(25613, 65536, F256, 7) (dual of [65536, 65523, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- discarding parts of the base [i] based on linear OA(25615, 65538, F256, 8) (dual of [65538, 65523, 9]-code), using
- OOA 2-folding [i] based on OA(12818, 65538, S128, 8), using
- OOA(12856, 4194301, S128, 2, 17), using
- OOA 2-folding [i] based on OA(12856, 8388602, S128, 17), using
- discarding factors based on OA(12856, large, S128, 17), using
- discarding parts of the base [i] based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding parts of the base [i] based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- discarding factors based on OA(12856, large, S128, 17), using
- OOA 2-folding [i] based on OA(12856, 8388602, S128, 17), using
Mode: Constructive.
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 | OOA(12874, 2113535, S128, 4, 17) | [i] | OOA Folding | |
| 2 | OOA(12874, 1056767, S128, 18, 17) | [i] | OOA Folding and Stacking with Additional Row | |