Information on Result #1014430
Linear OOA(8111, 5593768, F8, 3, 12) (dual of [(5593768, 3), 16781193, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(821, 1366, F8, 3, 6) (dual of [(1366, 3), 4077, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(821, 4098, F8, 6) (dual of [4098, 4077, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(821, 4100, F8, 6) (dual of [4100, 4079, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(821, 4096, F8, 6) (dual of [4096, 4075, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(817, 4096, F8, 5) (dual of [4096, 4079, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(821, 4100, F8, 6) (dual of [4100, 4079, 7]-code), using
- OOA 3-folding [i] based on linear OA(821, 4098, F8, 6) (dual of [4098, 4077, 7]-code), using
- linear OOA(890, 5592402, F8, 3, 12) (dual of [(5592402, 3), 16777116, 13]-NRT-code), using
- trace code [i] based on linear OOA(6445, 2796201, F64, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- trace code [i] based on linear OOA(6445, 2796201, F64, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-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(8111, 2796883, F8, 15, 12) (dual of [(2796883, 15), 41953134, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |