Information on Result #991091
Linear OOA(8144, 177216, F81, 3, 12) (dual of [(177216, 3), 531604, 13]-NRT-code), using OOA 3-folding based on linear OA(8144, 531648, F81, 12) (dual of [531648, 531604, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(8144, 531649, F81, 12) (dual of [531649, 531605, 13]-code), using
- (u, u+v)-construction [i] based on
- linear OA(8110, 205, F81, 6) (dual of [205, 195, 7]-code), using
- linear OA(8134, 531444, F81, 12) (dual of [531444, 531410, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(8134, 531441, F81, 12) (dual of [531441, 531407, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(8131, 531441, F81, 11) (dual of [531441, 531410, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.