Information on Result #684394
Linear OA(538, 71, F5, 17) (dual of [71, 33, 18]-code), using construction XX applied to Ce(16) ⊂ Ce(15) ⊂ Ce(11) based on
- linear OA(534, 63, F5, 17) (dual of [63, 29, 18]-code), using an extension Ce(16) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(531, 63, F5, 16) (dual of [63, 32, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(528, 63, F5, 12) (dual of [63, 35, 13]-code), using an extension Ce(11) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(50, 4, F5, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(53, 4, F5, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,5) or 4-cap in PG(2,5)), using
- dual of repetition code with length 4 [i]
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.