Information on Result #1839059
OOA(12846, 4325637, S128, 4, 9), using discarding parts of the base based on linear OOA(25640, 4325637, F256, 4, 9) (dual of [(4325637, 4), 17302508, 10]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2565, 131337, F256, 4, 3) (dual of [(131337, 4), 525343, 4]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2565, 131337, F256, 3, 3) (dual of [(131337, 3), 394006, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(2565, 131337, F256, 2, 3) (dual of [(131337, 2), 262669, 4]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2565, 131337, F256, 3, 3) (dual of [(131337, 3), 394006, 4]-NRT-code), using
- linear OOA(25610, 2097150, F256, 4, 4) (dual of [(2097150, 4), 8388590, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25610, 4194301, F256, 4, 4) (dual of [(4194301, 4), 16777194, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(25610, 8388602, F256, 4) (dual of [8388602, 8388592, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(25610, large, F256, 4) (dual of [large, large−10, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(25610, large, F256, 4) (dual of [large, large−10, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(25610, 8388602, F256, 4) (dual of [8388602, 8388592, 5]-code), using
- discarding factors / shortening the dual code based on linear OOA(25610, 4194301, F256, 4, 4) (dual of [(4194301, 4), 16777194, 5]-NRT-code), using
- linear OOA(25625, 2097150, F256, 4, 9) (dual of [(2097150, 4), 8388575, 10]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25625, 8388600, F256, 9) (dual of [8388600, 8388575, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(25625, large, F256, 9) (dual of [large, large−25, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(25625, large, F256, 9) (dual of [large, large−25, 10]-code), using
- OOA 4-folding [i] based on linear OA(25625, 8388600, F256, 9) (dual of [8388600, 8388575, 10]-code), using
- linear OOA(2565, 131337, F256, 4, 3) (dual of [(131337, 4), 525343, 4]-NRT-code), 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(12846, 4325636, S128, 12, 9) | [i] | OOA Stacking with Additional Row | |