Information on Result #1014590
Linear OOA(8151, 5679785, F8, 3, 15) (dual of [(5679785, 3), 17039204, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(837, 87383, F8, 3, 7) (dual of [(87383, 3), 262112, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(837, 262149, F8, 7) (dual of [262149, 262112, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(837, 262150, F8, 7) (dual of [262150, 262113, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(837, 262144, F8, 7) (dual of [262144, 262107, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(831, 262144, F8, 6) (dual of [262144, 262113, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(80, 6, F8, 0) (dual of [6, 6, 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(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(837, 262150, F8, 7) (dual of [262150, 262113, 8]-code), using
- OOA 3-folding [i] based on linear OA(837, 262149, F8, 7) (dual of [262149, 262112, 8]-code), using
- linear OOA(8114, 5592402, F8, 3, 15) (dual of [(5592402, 3), 16777092, 16]-NRT-code), using
- trace code [i] based on linear OOA(6457, 2796201, F64, 3, 15) (dual of [(2796201, 3), 8388546, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- trace code [i] based on linear OOA(6457, 2796201, F64, 3, 15) (dual of [(2796201, 3), 8388546, 16]-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.