Information on Result #1082468
Linear OOA(8162, 2274299, F81, 4, 12) (dual of [(2274299, 4), 9097134, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8117, 177149, F81, 4, 6) (dual of [(177149, 4), 708579, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(8117, 531447, F81, 6) (dual of [531447, 531430, 7]-code), using
- discarding factors / shortening the dual code 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
- discarding factors / shortening the dual code based on linear OA(8117, 531448, F81, 6) (dual of [531448, 531431, 7]-code), using
- OA 3-folding and stacking [i] based on linear OA(8117, 531447, F81, 6) (dual of [531447, 531430, 7]-code), using
- linear OOA(8145, 2097150, F81, 4, 12) (dual of [(2097150, 4), 8388555, 13]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8145, 8388600, F81, 12) (dual of [8388600, 8388555, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- OOA 4-folding [i] based on linear OA(8145, 8388600, F81, 12) (dual of [8388600, 8388555, 13]-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.