Information on Result #1011892
Linear OOA(4141, 2801669, F4, 3, 13) (dual of [(2801669, 3), 8404866, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(432, 5468, F4, 3, 6) (dual of [(5468, 3), 16372, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(43, 5, F4, 3, 3) (dual of [(5, 3), 12, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;12,4) [i]
- linear OOA(429, 5463, F4, 3, 6) (dual of [(5463, 3), 16360, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(429, 16389, F4, 6) (dual of [16389, 16360, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(429, 16391, F4, 6) (dual of [16391, 16362, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(429, 16384, F4, 6) (dual of [16384, 16355, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(422, 16384, F4, 5) (dual of [16384, 16362, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(40, 7, F4, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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(429, 16391, F4, 6) (dual of [16391, 16362, 7]-code), using
- OOA 3-folding [i] based on linear OA(429, 16389, F4, 6) (dual of [16389, 16360, 7]-code), using
- linear OOA(43, 5, F4, 3, 3) (dual of [(5, 3), 12, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(4109, 2796201, F4, 3, 13) (dual of [(2796201, 3), 8388494, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4109, large, F4, 13) (dual of [large, large−109, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- OOA 3-folding [i] based on linear OA(4109, large, F4, 13) (dual of [large, large−109, 14]-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(4141, 1400834, F4, 15, 13) (dual of [(1400834, 15), 21012369, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |