Information on Result #896143
Linear OOA(5109, 4194616, F5, 2, 12) (dual of [(4194616, 2), 8389123, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(518, 315, F5, 2, 6) (dual of [(315, 2), 612, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(518, 630, F5, 6) (dual of [630, 612, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(517, 625, F5, 6) (dual of [625, 608, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(513, 625, F5, 4) (dual of [625, 612, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- OOA 2-folding [i] based on linear OA(518, 630, F5, 6) (dual of [630, 612, 7]-code), using
- linear OOA(591, 4194301, F5, 2, 12) (dual of [(4194301, 2), 8388511, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(591, 8388602, F5, 12) (dual of [8388602, 8388511, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(591, large, F5, 12) (dual of [large, large−91, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(591, large, F5, 12) (dual of [large, large−91, 13]-code), using
- OOA 2-folding [i] based on linear OA(591, 8388602, F5, 12) (dual of [8388602, 8388511, 13]-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(5109, 1398205, F5, 14, 12) (dual of [(1398205, 14), 19574761, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |