Information on Result #904922
Linear OOA(12861, 4202495, F128, 2, 13) (dual of [(4202495, 2), 8404929, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12812, 8194, F128, 2, 6) (dual of [(8194, 2), 16376, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12812, 16388, F128, 6) (dual of [16388, 16376, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(12812, 16389, F128, 6) (dual of [16389, 16377, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(12811, 16384, F128, 6) (dual of [16384, 16373, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(1287, 16384, F128, 4) (dual of [16384, 16377, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(12812, 16389, F128, 6) (dual of [16389, 16377, 7]-code), using
- OOA 2-folding [i] based on linear OA(12812, 16388, F128, 6) (dual of [16388, 16376, 7]-code), using
- linear OOA(12849, 4194301, F128, 2, 13) (dual of [(4194301, 2), 8388553, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12849, 8388602, F128, 13) (dual of [8388602, 8388553, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(12849, large, F128, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(12849, large, F128, 13) (dual of [large, large−49, 14]-code), using
- OOA 2-folding [i] based on linear OA(12849, 8388602, F128, 13) (dual of [8388602, 8388553, 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
None.