Information on Result #674002
Linear OA(223, 137, F2, 7) (dual of [137, 114, 8]-code), using construction X4 applied to Ce(6) ⊂ Ce(4) based on
- linear OA(222, 128, F2, 7) (dual of [128, 106, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(215, 128, F2, 5) (dual of [128, 113, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(28, 9, F2, 7) (dual of [9, 1, 8]-code), using
- strength reduction [i] based on linear OA(28, 9, F2, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,2)), using
- dual of repetition code with length 9 [i]
- strength reduction [i] based on linear OA(28, 9, F2, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,2)), using
- linear OA(21, 9, F2, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.