Information on Result #2694880
Linear OOA(5120, 2796411, F5, 3, 13) (dual of [(2796411, 3), 8389113, 14]-NRT-code), using 51 times duplication based on linear OOA(5119, 2796411, F5, 3, 13) (dual of [(2796411, 3), 8389114, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(518, 210, F5, 3, 6) (dual of [(210, 3), 612, 7]-NRT-code), using
- OOA 3-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 3-folding [i] based on linear OA(518, 630, F5, 6) (dual of [630, 612, 7]-code), using
- linear OOA(5101, 2796201, F5, 3, 13) (dual of [(2796201, 3), 8388502, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5101, large, F5, 13) (dual of [large, large−101, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 520−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(5101, large, F5, 13) (dual of [large, large−101, 14]-code), using
- linear OOA(518, 210, F5, 3, 6) (dual of [(210, 3), 612, 7]-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
None.