Information on Result #1068760
Linear OOA(8166, 2230012, F81, 4, 13) (dual of [(2230012, 4), 8919982, 14]-NRT-code), using OOA 2-folding based on linear OOA(8166, 4460024, F81, 2, 13) (dual of [(4460024, 2), 8919982, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8166, 4460025, F81, 2, 13) (dual of [(4460025, 2), 8919984, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8117, 265724, F81, 2, 6) (dual of [(265724, 2), 531431, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8117, 531448, F81, 6) (dual of [531448, 531431, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(8116, 531441, F81, 6) (dual of [531441, 531425, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(8110, 531441, F81, 4) (dual of [531441, 531431, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(811, 7, F81, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 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(8117, 531448, F81, 6) (dual of [531448, 531431, 7]-code), using
- linear OOA(8149, 4194301, F81, 2, 13) (dual of [(4194301, 2), 8388553, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8149, 8388602, F81, 13) (dual of [8388602, 8388553, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(8149, large, F81, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, 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(8149, large, F81, 13) (dual of [large, large−49, 14]-code), using
- OOA 2-folding [i] based on linear OA(8149, 8388602, F81, 13) (dual of [8388602, 8388553, 14]-code), using
- linear OOA(8117, 265724, F81, 2, 6) (dual of [(265724, 2), 531431, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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.